{
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   "cell_type": "markdown",
   "metadata": {
    "internals": {
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    },
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    }
   },
   "source": [
    "# Diagonalization\n",
    "\n",
    "<br>\n",
    "<br>\n",
    "<center>\n",
    "<img src=\"images/PottermoreDiagonAlley1.jpg\" alt=\"Diagon Alley\" width=\"450\">\n",
    "<br>\n",
    "\"Welcome, Harry, to Diagon Alley\"\n",
    "<P>\n",
    "<center>\n",
    "   -- Rubeus Hagrid\n",
    "</center>\n",
    "\n",
    "<div style=\"visibility: hidden\"> \n",
    "Source:\n",
    "http://img3.wikia.nocookie.net/__cb20140714004320/harrypotter/images/8/84/PottermoreDiagonAlley1.jpg\n",
    "</div>"
   ]
  },
  {
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   "execution_count": 1,
   "metadata": {
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    "internals": {},
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "%config InlineBackend.figure_format='retina'\n",
    "# import libraries\n",
    "import numpy as np\n",
    "import matplotlib as mp\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "import laUtilities as ut\n",
    "import slideUtilities as sl\n",
    "import demoUtilities as dm\n",
    "import pandas as pd\n",
    "from importlib import reload\n",
    "from datetime import datetime\n",
    "from IPython.display import Image\n",
    "from IPython.display import display_html\n",
    "from IPython.display import display\n",
    "from IPython.display import Math\n",
    "from IPython.display import Latex\n",
    "from IPython.display import HTML\n",
    "print('')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false,
    "internals": {},
    "slideshow": {
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    }
   },
   "outputs": [
    {
     "data": {
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       "<style>\n",
       " .container.slides .celltoolbar, .container.slides .hide-in-slideshow {\n",
       "    display: None ! important;\n",
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       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
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   ],
   "source": [
    "%%html\n",
    "<style>\n",
    " .container.slides .celltoolbar, .container.slides .hide-in-slideshow {\n",
    "    display: None ! important;\n",
    "}\n",
    "</style>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "internals": {},
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "source": [
    "%Set up useful MathJax (Latex) macros.\n",
    "%See http://docs.mathjax.org/en/latest/tex.html#defining-tex-macros\n",
    "%These are for use in the slideshow\n",
    "$\\newcommand{\\mat}[1]{\\left[\\begin{array}#1\\end{array}\\right]}$\n",
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    "$\\newcommand{\\vbt}{{\\mathbf\\beta}}$\n",
    "$\\newcommand{\\vy}{{\\mathbf y}}$\n",
    "$\\newcommand{\\vz}{{\\mathbf z}}$\n",
    "$\\newcommand{\\R}{{\\mathbb{R}}}$\n",
    "$\\newcommand{\\vu}{{\\mathbf u}}$\n",
    "$\\newcommand{\\vv}{{\\mathbf v}}$\n",
    "$\\newcommand{\\vw}{{\\mathbf w}}$\n",
    "$\\newcommand{\\col}{{\\operatorname{Col}}}$\n",
    "$\\newcommand{\\nul}{{\\operatorname{Nul}}}$\n",
    "$\\newcommand{\\vb}{{\\mathbf b}}$\n",
    "$\\newcommand{\\va}{{\\mathbf a}}$\n",
    "$\\newcommand{\\ve}{{\\mathbf e}}$\n",
    "$\\newcommand{\\setb}{{\\mathcal{B}}}$\n",
    "$\\newcommand{\\rank}{{\\operatorname{rank}}}$\n",
    "$\\newcommand{\\vp}{{\\mathbf p}}$"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {
    "internals": {
     "slide_helper": "subslide_end"
    },
    "slide_helper": "slide_end",
    "slideshow": {
     "slide_type": "skip"
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   },
   "source": [
    "\\newcommand{\\mat}[1]{\\left[\\begin{array}#1\\end{array}\\right]}\n",
    "\\newcommand{\\vx}{{\\mathbf x}}\n",
    "\\newcommand{\\hx}{\\hat{\\mathbf x}}\n",
    "\\newcommand{\\vbt}{{\\mathbf\\beta}}\n",
    "\\newcommand{\\vy}{{\\mathbf y}}\n",
    "\\newcommand{\\vz}{{\\mathbf z}}\n",
    "\\newcommand{\\vb}{{\\mathbf b}}\n",
    "\\newcommand{\\vu}{{\\mathbf u}}\n",
    "\\newcommand{\\vv}{{\\mathbf v}}\n",
    "\\newcommand{\\vw}{{\\mathbf w}}\n",
    "\\newcommand{\\va}{{\\mathbf a}}\n",
    "\\newcommand{\\ve}{{\\mathbf e}}\n",
    "\\newcommand{\\vp}{{\\mathbf p}}\n",
    "\\newcommand{\\R}{{\\mathbb{R}}}\n",
    "\\newcommand{\\col}{{\\operatorname{Col}}}\n",
    "\\newcommand{\\nul}{{\\operatorname{Nul}}}\n",
    "\\newcommand{\\rank}{{\\operatorname{rank}}}\n",
    "\\newcommand{\\setb}{{\\mathcal{B}}}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "Today we consider an important factorization of a square matrix.   \n",
    "\n",
    "This factorization uses eigenvalues and eigenvectors, and makes many problems substantially easier."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "The factorization is of the form \n",
    "\n",
    "$$A = PDP^{-1}$$\n",
    "\n",
    "where $D$ is a __diagonal__ matrix."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "This factorization allows us to compute $A^k$ quickly for large values of $k,$ which is fundamental to many problems."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "Here is an example of why we'd like to do such a thing:"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "__Example.__  Consider taking the powers of a diagonal matrix.  \n",
    "\n",
    "For example, $D = \\mat{{rr}5&0\\\\0&3}.$  "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "Then note that $D^2 = \\mat{{rr}5&0\\\\0&3}\\mat{{rr}5&0\\\\0&3} = \\mat{{cc}5^2&0\\\\0&3^2},$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "And $D^3 = DD^2 = \\mat{{rr}5&0\\\\0&3}\\mat{{cc}5^2&0\\\\0&3^2} = \\mat{{cc}5^3&0\\\\0&3^3}.$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "So in general,\n",
    "\n",
    "$$ D^k = \\mat{{rr}5^k&0\\\\0&3^k} \\;\\;\\;\\mbox{for}\\;k\\geq1.$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "__Extending this to a general matrix $A$.__\n",
    "\n",
    "Now, consider if $A$ is __similar__ to a diagonal matrix.  \n",
    "\n",
    "For example, let $A = PDP^{-1}$ for some invertible $P$ and diagonal $D$."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "Then, $A^k$ is also easy to compute.   "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "__Example.__ Let $A = \\mat{{rr}7&2\\\\-4&1}.$  \n",
    "\n",
    "Find a formula for $A^k,$ given that $A = PDP^{-1},$ where\n",
    "\n",
    "$$P = \\mat{{rr}1&1\\\\-1&-2}\\;\\mbox{and}\\;D = \\mat{{cc}5&0\\\\0&3}.$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "__Solution.__   \n",
    "\n",
    "The standard formula for the inverse of a $2\\times 2$ matrix yields\n",
    "\n",
    "$$P^{-1} = \\mat{{rr}2&1\\\\-1&-1}$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "Then, by associativity of matrix multiplication,\n",
    "\n",
    "$$A^2 = (PDP^{-1})(PDP^{-1}) $$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "$$= PD(P^{-1}P)DP^{-1}$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "$$ = PDDP^{-1}$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "$$ = PD^2P^{-1}$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "$$ = \\mat{{rr}1&1\\\\-1&-2}\\mat{{rr}5^2&0\\\\0&3^2}\\mat{{rr}2&1\\\\-1&-1}$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "In general, for $k\\geq 1,$\n",
    "\n",
    "$$A^k = PD^kP^{-1}$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "$$=\\mat{{rr}1&1\\\\-1&-2}\\mat{{rr}5^k&0\\\\0&3^k}\\mat{{rr}2&1\\\\-1&-1}$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true,
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "$$=\\mat{{cc}2\\cdot5^k-3^k&5^k-3^k\\\\2\\cdot3^k-2\\cdot5^k&2\\cdot3^k-5^k}$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "A square matrix $A$ is said to be __diagonalizable__ if $A$ is similar to a diagonal matrix, that is, if \n",
    "\n",
    "$$A = PDP^{-1}$$ \n",
    "\n",
    "for some invertible matrix $P$ and some diagonal matrix $D$."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## Question Time! Q18.1"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "Next we will show that to diagonalize a matrix, one __must__ use the eigenvectors and eigenvalues of $A$."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "__Theorem.__ (The Diagonalization Theorem)\n",
    "\n",
    "An $n\\times n$ matrix $A$ is diagonalizable if and only if $A$ has $n$ linearly independent eigenvectors."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "In fact, $A = PDP^{-1},$ with $D$ a diagonal matrix, if and only if the columns of $P$ are $n$ linearly independent eigenvectors of $A.$  "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "In this case, the diagonal entires of $D$ are eigenvalues of $A$ that correspond, respectively, to the eigenvectors in $P$."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    " In other words, $A$ is diagonalizable if and only if there are enough eigenvectors to form a basis of $\\R^n$.  \n",
    " \n",
    "We call such a basis an __eigevector basis__ or an __eigenbasis__ of $\\R^n$."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "__Proof.__\n",
    "\n",
    "First, we prove the \"only if\" part: if $A$ is diagonalizable, it has $n$ linearly independent eigenvectors.\n",
    "\n",
    "Observe that if $P$ is any $n\\times n$ matrix with columns $\\vv_1,\\dots,\\vv_n,$ and if $D$ is any diagonal matrix with diagonal entries $\\lambda_1,\\dots,\\lambda_n,$ then\n",
    "\n",
    "$$AP = A[\\vv_1\\;\\vv_2\\;\\cdots\\;\\vv_n] = [A\\vv_1\\;A\\vv_2\\;\\cdots\\;A\\vv_n]$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "while\n",
    "\n",
    "$$PD = P\\mat{{cccc}\\lambda_1&0&\\cdots&0\\\\0&\\lambda_2&\\cdots&0\\\\\\vdots&\\vdots&\\ddots&\\vdots\\\\0&0&\\cdots&\\lambda_n} = [\\lambda_1\\vv_1\\;\\lambda_2\\vv_2\\;\\cdots\\;\\lambda_n\\vv_n].$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "Now suppose $A$ is diagonalizable and $A = PDP^{-1}.$  Then right-multiplying this relation by P, we have \n",
    "\n",
    "$$AP = PD$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "In this case, the calculations above show that\n",
    "\n",
    "$$[A\\vv_1\\;A\\vv_2\\;\\cdots\\;A\\vv_n] = [\\lambda_1\\vv_1\\;\\lambda_2\\vv_2\\;\\cdots\\;\\lambda_n\\vv_n].$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "Equating columns, we find that\n",
    "\n",
    "$$A\\vv_1 = \\lambda_1\\vv_1, \\;\\;\\; A\\vv_2 = \\lambda_2\\vv_2, \\;\\;\\; \\dots, \\;\\;\\; A\\vv_n = \\lambda_n\\vv_n$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "Since $P$ is invertible, its columns $\\vv_1, \\dots,\\vv_n$ must be linearly independent.  \n",
    "\n",
    "Also, since these columns are nonzero, the equations above show that $\\lambda_1, \\dots, \\lambda_n$ are eigenvalues and $\\vv_1, \\dots, \\vv_n$ are the corresponding eigenvectors.  \n",
    "\n",
    "This proves the \"only if\" part of the theorem."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "The \"if\" part of the theorem is: if $A$ has $n$ linearly independent eigenvectors, $A$ is diagonalizable.\n",
    "\n",
    "This is straightforward: given $A$'s $n$ eigenvectors $\\vv_1,\\dots,\\vv_n,$ use them to construct the columns of $P$ and use corresponding eigenvalues $\\lambda_1, \\dots, \\lambda_n$ to construct $D$.  "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "Using the sequence of equations above in reverse order, we can go from \n",
    "\n",
    "$$A\\vv_1 = \\lambda_1\\vv_1, \\;\\;\\; A\\vv_2 = \\lambda_2\\vv_2, \\;\\;\\; \\dots, \\;\\;\\; A\\vv_n = \\lambda_n\\vv_n$$\n",
    "\n",
    "to \n",
    "\n",
    "$$AP = PD.$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "Since the eigenvectors are given as linearly idenpendent, $P$ is invertible and so \n",
    "\n",
    "$$A = PDP^{-1}.$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "The takeaway is this:\n",
    "\n",
    "Every $n\\times n$ matrix having $n$ linearly independent eigenvectors can be factored into the product of \n",
    "* a matrix $P$, \n",
    "* a diagonal matrix $D$, and\n",
    "* the inverse of $P$ \n",
    "\n",
    "... where $P$ holds the eigenvectors of $A$, and $D$ holds the eigenvalues of $A$.\n",
    "\n",
    "This is the __eigendecomposition__ of $A$.   \n",
    "\n",
    "(It is quite fundamental!)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## Question Time! Q18.2"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## Diagonalizing a Matrix\n",
    "\n",
    "Let's put this all together and see how to diagonalize a matrix."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "__Example.__  Diagonalize the following matrix, if possible.\n",
    "\n",
    "$$A = \\mat{{rrr}1&3&3\\\\-3&-5&-3\\\\3&3&1}$$\n",
    "\n",
    "That is, find an invertible matrix $P$ and a diagonal matrix $D$ such that $A = PDP^{-1}.$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "__Solution.__\n",
    "\n",
    "__Step 1: Find the eigenvalues of $A$.__\n",
    "\n",
    "This is routine for us now.  If we are working with $2\\times2$ matrices, we may choose to find the roots of the characteristic polynomial (quadratic).  For anything larger we'd use a computer."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "In this case, the characteristic equation turns out to involve a cubic polynomial that can be factored:\n",
    "\n",
    "$$0 = \\det(A-\\lambda I) $$\n",
    "\n",
    "$$ = -\\lambda^3 - 3\\lambda^2 + 4$$\n",
    "\n",
    "$$ = -(\\lambda -1)(\\lambda +2)^2$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "So the eigenvalues are $\\lambda = 1$ and $\\lambda = -2$ (with multiplicity two)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "__Step 2: Find three linearly independent eigenvectors of $A$.__\n",
    "\n",
    "Note that we need _three_ linearly independent vectors because $A$ is $3\\times3.$  "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "This is the step at which, if $A$ cannot be diagonalized, we find out because we cannot form 3 independent eigenvectors."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "Using our standard method (finding the nullspace of $A - \\lambda I$) we find a basis for each eigenspace:\n",
    "\n",
    "Basis for $\\lambda = 1$: $\\vv_1 = \\mat{{r}1\\\\-1\\\\1}.$\n",
    "\n",
    "Basis for $\\lambda = -2$: $\\vv_2 = \\mat{{r}-1\\\\1\\\\0}$ and $\\vv_3 = \\mat{{r}-1\\\\0\\\\1}.$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "Check that $\\{\\vv_1, \\vv_2, \\vv_3\\}$ forms a linearly independent set."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "__Step 3: Construct $P$ from the vectors in Step 2.__\n",
    "\n",
    "The order of the vectors is actually not important.\n",
    "\n",
    "$$P = [\\vv_1\\;\\vv_2\\;\\vv_3] = \\mat{{rrr}1&-1&-1\\\\-1&1&0\\\\1&0&1}.$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "__Step 4: Construct $D$ from the corresponding eigenvalues.__\n",
    "\n",
    "The order of eigenvalues must match the order of eigenvectors used in the previous step.\n",
    "\n",
    "If an eigenvalue has multiplicity greater than 1, then repeat it the corresponding number of times.\n",
    "\n",
    "$$D = \\mat{{rrr}1&0&0\\\\0&-2&0\\\\0&0&-2}.$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "And we are done.   We have diagonalized $A$:\n",
    "\n",
    "$$A =  \\mat{{rrr}1&3&3\\\\-3&-5&-3\\\\3&3&1} = \\mat{{rrr}1&-1&-1\\\\-1&1&0\\\\1&0&1}  \\mat{{rrr}1&0&0\\\\0&-2&0\\\\0&0&-2}\\mat{{rrr}1&-1&-1\\\\-1&1&0\\\\1&0&1}^{-1}$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "So, just as a reminder, we can now take powers of $A$ quite efficiently:\n",
    "\n",
    "$$A^{100} = \\mat{{rrr}1&-1&-1\\\\-1&1&0\\\\1&0&1}  \\mat{{rrr}1^{100}&0&0\\\\0&(-2)^{100}&0\\\\0&0&(-2)^{100}}\\mat{{rrr}1&-1&-1\\\\-1&1&0\\\\1&0&1}^{-1}$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "__Example.__   Let's look at an example of how diagonalization can fail."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "Diagonalize the following matrix, if possible.\n",
    "\n",
    "$$A = \\mat{{rrr}2&4&3\\\\-4&-6&-3\\\\3&3&1}.$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "__Solution.__ The characteristic equation of $A$ turns out to be the same as in the last example:\n",
    "\n",
    "$$0 = \\det(A-\\lambda I) = -(\\lambda-1)(\\lambda +2)^2$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "The eigenvalues are $\\lambda = 1$ and $\\lambda = -2.$  However, it is easy to verify that each eigenspace is only one-dimensional:\n",
    "\n",
    "Basis for $\\lambda_1 = 1$: $\\vv_1 = \\mat{{r}1\\\\-1\\\\1}.$\n",
    "\n",
    "Basis for $\\lambda_2 = -2$: $\\vv_2 = \\mat{{r}-1\\\\1\\\\0}.$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "There are not other eigenvalues, and every eigenvector of $A$ is a multiple of either $\\vv_1$ or $\\vv_2.$  "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "Hence it is impossible to construct a basis of $\\R^3$ using eigenvectors of $A$. \n",
    "\n",
    "So we conclude that $A$ is __not__ diagonalizable."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "__An Important Case.__\n",
    "\n",
    "There is an important situation in which we can conclude immediately that $A$ is diagonalizable, without explicitly constructing and testing the eigenspaces of $A$."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "__Theorem.__\n",
    "\n",
    "An $n\\times n$ matrix with $n$ distinct eigenvalues is diagonalizable."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "__Proof.__\n",
    "\n",
    "There is a straightforward proof in the book showing that any set of eigenvectors corresponding to distinct eigenvalues is linearly independent.   Using that fact here, we have $n$ linearly independent eigenvectors, so $A$ must be diagonalizable."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "__Example.__\n",
    "\n",
    "Determine if the following matrix is diagonalizable.\n",
    "\n",
    "$$A = \\mat{{rrr}5&-8&1\\\\0&0&7\\\\0&0&-2}.$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "__Solution.__\n",
    "\n",
    "It's easy!  Since $A$ is triangular, its eigenvalues are $5, 0,$ and $-2$.  Since $A$ is a $3\\times3$ with 3 distinct eigenvalues, $A$ is diagonalizable."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## Question Time! Q18.3"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## Change of Basis\n",
    "\n",
    "We can interpret $A = PDP^{-1}$ in terms of how $A$ acts as a linear operator."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "When thinking of $A$ as a linear operator, diagonalization has a specific interpretation: __it separates the influence of each vector component from the others.__"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "Intuitively, the point to see is that when we multiply a vector $\\vx$ by a diagonal matrix $D$, the change to each component of $\\vx$ depends only on that component.  "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "On the other hand, when we multiply by a matrix $A$ that has off-diagonal entries, the components of $\\vx$ affect each other."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "This allows us to bring intuition to the problem, and simplifies computation."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "__Interpreting Diagonalization Geometrically__\n",
    "\n",
    "When we compute $P\\vx,$ we are taking a vector sum of the columns of $P$:\n",
    "\n",
    "$$P\\vx = \\vp_1 x_1 + \\vp_2 x_2 + \\dots \\vp_n x_n.$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "Now $P$ is invertible, so its columns are a basis for $\\R^n$.  Let's say  $\\mathcal{B} = \\{\\vp_1, \\vp_2, \\dots, \\vp_n\\}.$  \n",
    "\n",
    "So, we can think of $P\\vx$ as \"the point that has coordinates $\\vx$ in the basis $\\mathcal{B}$.\"   "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "We write this statement as $P\\vx = [\\vx]_\\mathcal{B}.$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "What about $P^{-1}$?   \n",
    "\n",
    "Since $P^{-1}P\\vx = \\vx,$ then $P^{-1}\\vx$ is \"the coordinates of $\\vx$ in the basis $\\mathcal{B}$\""
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "So we can interpret $PDP^{-1}\\vx$ as:\n",
    "\n",
    "1) Compute the coordinates of $\\vx$ in the basis $\\mathcal{B}$.   \n",
    "\n",
    "This is $P^{-1}\\vx.$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "2) Scale those coordinates according to the diagonal matrix $D$.   \n",
    "\n",
    "This is $DP^{-1}\\vx.$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "3) Find the point that has those scaled coordinates in the basis $\\mathcal{B}.$ \n",
    " \n",
    "This is $PDP^{-1}\\vx.$\n",
    "    "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "Let's visualize diagonalization geometrically.\n",
    "\n",
    "Here is $A$ transforming a point $\\vx = \\mat{{rr}2.47\\\\1.25}$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false,
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
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dwDB89atfjY6Ojjh48GA899xz8eyzz8ZHPvKR+Md//McoKys75Tm2OwAAgDPX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\nbX7v8e+xJy0AAABAj5K8/ZLTPJGSFjqXkhYAAAC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      "text/plain": [
       "<matplotlib.figure.Figure at 0x1145b75f8>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 470,
       "width": 692
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sl.hide_code_in_slideshow()\n",
    "ax = ut.plotSetup(-1,6,-1,6,size=(12,8))\n",
    "ut.centerAxes(ax)\n",
    "v1 = np.array([5.0,1.0])\n",
    "v1 = v1 / np.sqrt(np.sum(v1*v1))\n",
    "v2 = np.array([3.0,5.0])\n",
    "v2 = v2 / np.sqrt(np.sum(v2*v2))\n",
    "# ut.plotVec(ax,v1,'b')\n",
    "# ut.plotVec(ax,v2)\n",
    "# ut.plotLinEqn(-v1[1],v1[0],0,color='b')\n",
    "# ut.plotLinEqn(-v2[1],v2[0],0,color='r')\n",
    "# for i in range(-4,8):\n",
    "#    ut.plotLinEqn(-v1[1],v1[0],i*(v1[0]*v2[1]-v1[1]*v2[0]),format=':',color='b')\n",
    "#    ut.plotLinEqn(-v2[1],v2[0],i*(v2[0]*v1[1]-v2[1]*v1[0]),format=':',color='r')\n",
    "p1 = 2*v1+v2\n",
    "p2 = 4*v1+3*v2\n",
    "ut.plotVec(ax, p1,'k')\n",
    "ut.plotVec(ax, p2,'k')\n",
    "ax.annotate('', xy=(p2[0], p2[1]),  xycoords='data',\n",
    "                xytext=(p1[0], p1[1]), textcoords='data',\n",
    "                size=15,\n",
    "                #bbox=dict(boxstyle=\"round\", fc=\"0.8\"),\n",
    "                arrowprops={'arrowstyle': 'simple',\n",
    "                                'fc': '0.7', \n",
    "                                'ec': 'none',\n",
    "                                'connectionstyle' : 'arc3,rad=-0.3'},\n",
    "                )\n",
    "ax.text(2.5,0.75,r'${\\bf x}$',size=20)\n",
    "ax.text(5.2,2.75,r'$A{\\bf x}$',size=20)\n",
    "ax.plot(0,0,'')\n",
    "print('')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "Now, let's compute $P^{-1}\\vx.$\n",
    "\n",
    "This is the coordinates of the point $\\vx$ in the basis $\\mathcal{B}:$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false,
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div id=\"83af741ac0187087\"></div>\n",
       "    <script type=\"text/javascript\">\n",
       "        $(function(){\n",
       "            var p = $(\"#83af741ac0187087\");\n",
       "            if (p.length==0) return;\n",
       "\n",
       "            while (!p.hasClass(\"cell\")) {\n",
       "                p=p.parent();\n",
       "\n",
       "                if (p.prop(\"tagName\") ==\"body\") return;\n",
       "            }\n",
       "            var cell = p;\n",
       "            cell.find(\".input\").addClass(\"hide-in-slideshow\")\n",
       "        });\n",
       "    </script>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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79Dt3Sr61alVJ1to6dUqKwKpWBfoX3yjZ2uBgIDRUfS6LyN2iooDWreWsX9eu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\n2apVnGaTnMwPrpkzdQxDzDp7FqhenRm4pUuVFAsy773Hg3jjxzNP7yx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s+dYwRTFtxgyg\nVSv2Udy6FQgLMx2R+A+P3YgoA+lOzZqmI/CpXbt4L1GvnnU/7HbtgKNHOZi4ePEb10JCgPbteU+S\nnGz9+l9+6fmYRcTHEhP5j9z5SY2IKQ4HS8wyZgSGDtUNnthDnz7cVIWEAN9+qwRtgLt2jfvouDig\nRg3X9c2bgccf562FVZK2TBngqaesvxYAHngAGDPGA4E+/TQwaRLQubMHXkzEAxo2ZKK2a1d9fos9\n1KwJ3H8/0KGDErRijCppg8TJk7xfqFAByJLFdb18eWD7dmDDBg4ecNalC3vH9u/P3rBy6+6okjYp\niaXJ2bN7KSqR2/R3MuzYMZ6rDLaSeLGnHTv4oZUqFcvNSpY0HZEEu2HD2PspNJTvlRr06fcSE9nS\nKzLSeo+8aRN/vVw57qWdHTvGYobKlYFBg7we7s3FxanVgdiLrkmxG12TcmdUSesxSUksEQ0PNx1J\nikRHA4cPAwULsvWAs2ef5byKJUus+13Vrg3kz+9+7s/w4R4NV27G4QBefx1YtgxYtIi97ERMO3UK\nmDuXbzZ//MFeiyKmlSsHLFzIUjYlaMW0GTPY3wkAxo5VgtZPOBzAxYvA6dNA2bKu60eO8BRZwYK8\nZXAWHs7Cq3LlrF+/YEFg+XKPhnznlHgQu9E1KXaja1IMC+4krcPBEtEpU9ibycYtDpKSWA2bKZN1\nErZtW/ax+uEHnmZyVrEiB3i5O0kydKhn45UUiI7mFIjjx5kYU5JW7CBfPg6+OXhQCVqxF6vzwyK+\ntmwZN2MOB8sl27Y1HZH8S3w8t1SFC7uu/fkn5ylkzsxTY87trQsW5NeFh7Pjj/NeOnt2YNs2b0Uu\nIiIiwSS4m78kJgJnzgCxsaYjAcDc3OXL1msdOwKFCvHknJXSpYFSpdy/9uefA2vWcPKr2FzmzCx7\nXrgQqF7ddDQi1xUtysZ6IiJy3bRpQKNGfBretSvQs6fpiIKOw8Fkq5WEBCBDBn6EJSS4rufIwdNk\n4eHA1auu62nSABERwK+/+lHbzEOHPNTIVsRDzpzh0UwNUha7iIoCBg92P1RHxBB/2Wp4R+rUwP/+\nx+ylD6pok5J4ItNKnz7MzX33nfV6kSJAnjzWm0sA+PhjYM8e6ypa8UNZsgC1apmOQkTEXuLjTUcg\ncqMtW4DnnuMD/5o1gS++cC3FFI+Ij3d/L12gAJAzJ/vGOkudmknY/PmB8+dd10NCeHhp61Ymc/3e\ntWt8oNqhAweFiZiWlAQ0bsyHWF98YToaET4saNkS6NUL6N3bdDQiNwjuJC3AJqwPPuixl0tKsv71\nYcOAdOmAjz6yXr/nHg4QjImxXu/bl72yXn3VM3GKiNxUVJTpCERudOQIj4z89JPpSETo/Hne5CUn\n88z73Ll+VGppPw6H+yK7atW4j7bqCQvwjz9TJrY0sHLwIL82b17PxGpr6dIx6VClCtC0qeloRHi/\n3acPcN99QLt2pqMR4dO5Xr2AEiWA114zHY3IDbST9JBp09jPqksX6/Vs2VgFa/UEHwBeeQW4cgV4\n/33rdRVlBLCTJ3XMQuzl2DGgTBlg4EAdSxP7mDyZEzJHjtR1KebFxLDFwcGDQPny/N/MmU1H5bda\ntACyZnXf2zX0rykaJ05Yr69dy2eLZcpYr7sbjBuwOnTgScFMmUxHIkJPPcVy9Vy5TEciQo88Auze\nbd2sXMSg4ErSHjrExq93YMkS4N57gRdesF7PkAG4cIG5DSstWnA//+231utp0qj4IiidOAE89BDQ\nujUQF2c6GhFas4blSIsXu++xIuJr774LfP01m7PryaWYlJDAjd3GjexHtWCB9VRX+Ue3brwPXrnS\nej0ujnMZIiKs13/8kaf4H37Yej1jRr0tuAi6zLTYnq5JsRtdk2JDwZMWPHmST0tq17YsZ920iaeC\nnnvO+svTpgUOHAD27rVer1uX3+Lnn63X06ULkD5X4llHj/KuRNW0YietWwPz5gFz5vAJkogdhITw\n2EmWLKYjkWDmcLBKceFCNkFduJBDA4LcJ58AFSoA8+dbr0dGcstz8KD1+ldfcXverJn1+t136+NI\nREREAl/QJGkP7EtC/fOT0Prop5bZ0jRpgA0bgM2brb++YkVg1y5OdrWSIQP7XKkaVm5L9erA6tVM\nhqVLZzoakesaNODZUxERue6RR4CJE4H06ZmRvPde0xH5xJgxLEiYOdN6/fRptipwV8zQrx+wfz/Q\ntq31esGCzHmrGvYOfPMNB9iJ2MXUqcDy5aajELlu/nzNNBC/EeLwbV83r32zs2eB7t1Z4DBtmuv6\nsWNAoUJAnruTcfqsayY1NpbVtOHhQTJUQHwm5K87Dh//WxMR8W9XrugIithL27bsjQzwZi+AhjLN\nng1MmgQ0bw60aeO63r8/MGAAB9l++KHr+v79wKVLnMGiYncfWrIEeOwx9p49eJAlxyImbd7MVm53\n3cUKp+LFTUckwe7wYaBsWfbVWbuWx6dFPM9jj5lDPfVC3hYTwwF8ly7x4ZyzsDAmZ8PCmKh1fhKf\nLx9bERQtal3qGhYG1KjhhcBFROzu7Fkgd27TUYhcN2IEMGwYsGgRULSo6WhEgBkzridoX37Z7xK0\nq1YxCVujBtC+vev64cPArFksVLBK0rZuDVSrxuHsVoKkoNh+atXiX86DDypBK/ZQoQLw6qs8IagE\nrdhBkSJA795sel65suloRP6TbSppk5J4FOr4cWDCBNcka2Ii3+sTE4GrV61Phk+dyuNS1aqp7YDY\nxw2VtH/8wTITEbv4+mtuXGbPBurUMR2NCD/oq1XjUKZJk9w3ixfxlWXLgPr1OTDs00+Bt982HZGL\n7duBKVOAUqWsh9yOHQu89BL/OU2a5Lr+xx8cvF6+PFCypPfjFQ+yqk4RMenv/IKuS7ETvVeKd3ns\n4vJpKnPYMOD119lawFmqVMwVTJoEnDvnuh4aCnz7LVt3ukvAtmnDCoG77gL7fOp4udjJ6NFA6dK8\nkEXswOFgedXlyyyjErGD0FA2gJ82TQlaMW/rVlbNJiQAXbvyWJcBhw9zONfYsdbrhw4BgwezGtZK\nzZrAqFHAG29Yr5coAbRqpQStX1LSQewmJETXpdiPrknxEz6tpA0PhyMiAti3z7qY8JtvOIehaVMg\nc+YUfKMxYzh5t3NnYPjwFLyQSMr9U0k7cCCbuX3zDdCpk+GoRP6SlAQsXQo8/rjpSERE7CUiAqha\nlS1hWrbkkS0vHdU6e5ZtbsPCgOefd11ftoyDu2rUAH77zXX96FFW0laowLmPIiIiIuIzHnsK4NMk\n7VdfwZGUxNZJXm2bNGsWy2q//JI9cUQMuqHdwZYtwAMPGI5IREREbmrvXiZoo6KYHZ03D0ib9o5f\n7vJlYMECID6e88ecbdnCtqJlywI7d7qunzkDDBkClCtn/fUSBKKjgT59gIEDgaxZTUcjwkFMPXsC\n77wD5MljOhoRFp+8/Tbw2mucCC/iO/6ZpMVNetJ63NGjQKFCPvt2Iu7ckKQVEZEbRUUBGTOy75GI\nHcTEcOLs5ctAjhzsNfAfR7xiY9k9JjKSRbfODh/mDLz8+Tl/wVlUFPDWW+yK9OabHvrvkMDSvj0w\ncSLw5JPsIy9iWs+ewOefs4/86tU6Ti7mDR7MtkT33gvs3s0WWiK+oSStiL9QklZs4+JFblZS1E9G\nxIOuXGGVYoECbEofFmY6Igl2CQlAkybAwoW8HtevB8qVQ1ISq11PnWKOzFlkJJA9O583XL7smqtI\nSGDP12LFOHtMuQy5bUePMlE7Zgwz/iKmnT/PI7KDB7PXiohply/zRHWPHkDt2qajkeCiJK2IrUVG\n8kd4uJK0Yg9XrwKPPgpcu8YztzqWJnawdStQpw6P7v7+u65LMcbhAA4ddCDitcF4dOnbCMmZE1iz\nhtU4YJI1LIy/LzYWSJPG9TWeeALInRsYOVLPG0RERESCiMeStP5f/33pErBnD49ZiNjBtWuswtm/\nH1i82HQ0InTxInDhArMLiYmmoxGhChU4BSl1aiVoxev+/JNtBypUsD4B+WDZOFyO74UL6UYgx/xZ\n/yRoAV6i9esz+RodzS4Izn75xYvBi4iIiEjA8+8kbWwsz5z9/juHhTVqZDoiESbAwsJYZpM9u+lo\nRCh/flaFRUby5yJ2cd99piOQABEfDxw7xu4ZVjO+HniA6wcPup4WDxk+DDXii+FqSAZEfz0ZOSpV\ncvn6efO8FLiIiIiICIC7TAeQIqlTc8xtzpwchytiB5ky8U7ut994pyhiF7ly3VAZJiLiTxwOVsPG\nxlqvV64MFC8O7NplvX7//fwRHe200LUr0K0b5uEJLJ9wHIXb1/Jo3CK3bckSoF8/XvQidrBxI98r\ndRpL7OKPP4CXX3a/KRDxU/7fk9bhYNPyu+/2+EuLeIJ60oqI/OX0aeCee0xHITYWH8//ter5Wr8+\nsGgRsHQp5805a94c2LwZGDeOrY5vyYwZnOgF8Gbv22/vKG4Rj4mKAooU4cmXGTOAZ54xHZEEu7g4\nPuQ/dgwYPhzo3Nl0RBLskpN5PGb7dqBvX+DDD01HJOKxnrT+XUkLcDyuErQiIjfau1cVOGIvK1bw\njPnIkaYjEYMcDiApyXrtpZeAdOmAuXOt1/PkATJmZIttKz/+CBw5chsJ2q1bgY4d+fMHHgC+/voW\nv1DEi7JkASZN4rX59NOmoxFh/5ipU4HWrYFXXjEdjQhw113AxIlAs2ZA796moxHxKP9P0oqY9vvv\nOmYh9rJqFSfjvPKK+2yIiK9t2cLBivv2mY5EDOnbF8iaFRg/3no9UyYmcc+etV7/9lvg8mWgRQvr\n9ZDbqWGIiAAaNGDvg5YteZT3Lm2LxSYaNQK++07XpNhH9epM1KZObToSESpXjnOJMmQ7OFV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cqxGlbkFvlpJa2IKQ4H8NRTTDpcusTeyHfo+PHjeOONN5AxY0bExMT8k4QVuW2pUwPNmwOnTrG/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LQkqFnTip2CwsMlY5yUxPZEpA0REfIcmZjISlrShocP5Uk/IYEXskgboqLkfASYcSJtiImR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\nAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1145bc9e8>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 470,
       "width": 692
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sl.hide_code_in_slideshow()\n",
    "ax = ut.plotSetup(-1,6,-1,6,size=(12,8))\n",
    "ut.centerAxes(ax)\n",
    "v1 = np.array([5.0,1.0])\n",
    "v1 = v1 / np.sqrt(np.sum(v1*v1))\n",
    "v2 = np.array([3.0,5.0])\n",
    "v2 = v2 / np.sqrt(np.sum(v2*v2))\n",
    "ut.plotVec(ax,v1,'b')\n",
    "ut.plotVec(ax,v2)\n",
    "ut.plotLinEqn(-v1[1],v1[0],0,color='b')\n",
    "ut.plotLinEqn(-v2[1],v2[0],0,color='r')\n",
    "for i in range(-4,8):\n",
    "    ut.plotLinEqn(-v1[1],v1[0],i*(v1[0]*v2[1]-v1[1]*v2[0]),format=':',color='b')\n",
    "    ut.plotLinEqn(-v2[1],v2[0],i*(v2[0]*v1[1]-v2[1]*v1[0]),format=':',color='r')\n",
    "p1 = 2*v1+v2\n",
    "p2 = 4*v1+3*v2\n",
    "ut.plotVec(ax, p1,'k')\n",
    "#ut.plotVec(ax, p2,'k')\n",
    "#ax.annotate('', xy=(p2[0], p2[1]),  xycoords='data',\n",
    "#                xytext=(p1[0], p1[1]), textcoords='data',\n",
    "#                size=15,\n",
    "                #bbox=dict(boxstyle=\"round\", fc=\"0.8\"),\n",
    "#                arrowprops={'arrowstyle': 'simple',\n",
    "#                                'fc': '0.7', \n",
    "#                                'ec': 'none',\n",
    "#                                'connectionstyle' : 'arc3,rad=-0.3'},\n",
    "#                )\n",
    "ax.text(2.5,0.75,r'${\\bf x}$',size=20)\n",
    "ax.text(v2[0]-0.15,v2[1]+0.5,r'${\\bf p_2}$',size=20)\n",
    "ax.text(v1[0]-0.15,v1[1]+0.35,r'${\\bf p_1}$',size=20)\n",
    "#ax.text(5.2,2.75,r'$A{\\bf x}$',size=16)\n",
    "ax.plot(0,0,'')\n",
    "print('')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "source": [
    "The coordinates of $\\vx$ in this basis are (2,1).  \n",
    "\n",
    "In other words $\\vx = \\mat{{r}2\\\\1}_\\mathcal{B}.$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "Now, we compute $DP^{-1}\\vx.$  Since $D$ is diagonal, this is just scaling $[\\vx]_\\mathcal{B}$.  \n",
    "\n",
    "In this example the eigenvalue corresponding to $\\vp_1$ is 2, and the eigenvalue corresponding to $\\vp_2$ is 3."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false,
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div id=\"acab9caa6bca101e\"></div>\n",
       "    <script type=\"text/javascript\">\n",
       "        $(function(){\n",
       "            var p = $(\"#acab9caa6bca101e\");\n",
       "            if (p.length==0) return;\n",
       "\n",
       "            while (!p.hasClass(\"cell\")) {\n",
       "                p=p.parent();\n",
       "\n",
       "                if (p.prop(\"tagName\") ==\"body\") return;\n",
       "            }\n",
       "            var cell = p;\n",
       "            cell.find(\".input\").addClass(\"hide-in-slideshow\")\n",
       "        });\n",
       "    </script>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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79Dt3Sr61alVJ1to6dUqKwKpWBfoX3yjZ2uBgIDRUfS6LyN2iooDWreWsX9eu\nuqMhX7d9O9CwoQwMczTxkIiIPEJYmMwTL1gQyJ/ffv2116Rjw6xZQPfu9utTpkg1be/eMl+BvAbb\nHRC51KefAlevSvNEPz/d0RDJ0Z9hw4AUKSSDVry47ojIpBITJZF66xZQrZr9+qlTyUO3jh2zXy9S\nBKhfX93n6u/1JUvu/w/rS8DbbwPlyjFBS+aRNi2wcaO8XxLpdPCgHD1ISAD69QMGDdIdERERPUJ0\ntAzdyphRXQk7Zgwwdaq0cx4wwH69alXg5k3Hl8VsR0D/hpW0RLYuXJBJu/fuAT//rM5yPAFW0pLT\nfPONVHn37Kk7EtLIMGQX/+pV6Vdl68IF2dnPmRO4csV+PSpKKmhLlQK++87l4RIR+aa9e2XQyPXr\nQPv20oaDGwek0/XrQMqUQIYMuiMhEpGRcsQrRw63/UirVeYr+Pmpe8IOHw588onUxowaZb8+axYw\ne7bcjnXp4vp4yc3i4+VGS5WhfzS2OyByqZ07pdysR4+n/lZM0hLRk4qNBS5elP0iW3fuyP1VUBBw\n9659VxarVRKw+fNLz1geBiAicrPjx+WEQUKCTEncvBlIlUp3VOTLoqKkx+e9e3LSIFcu3RGRr4uP\nB5o0kQasmzbJUS0niYqSa2lVNeuECcB778lBsClT7NcXLpQOc927AwMHOi0k8gRWq/SP37UL2LBB\nXQ3jmNOStNzOJVKpXdspCVoiIhXDAK5dS25//SCrVZKwxYpJ31hb6dPLdWypUlKAYMvPDzhxQq53\nmaAlrxcRIXdbqhcLkQ7R0UC7dpKgDQoCFixggpb0u3NHnpsxMbw4IHO4eze5kvYJn5NWqzylVebN\nA9Klc5xgLVRICndTplSvd+ok7cCYoPVBcXHSqyI2VuvJFyZpiYiIXCA2VoYmq+TLJ+0IwsPt1/z8\n5AKycGH1OiAD60NCJGHrNjduyO7ytWtu/KFE/+LVV6Us5t13dUdCJInZtm2BI0eAvHmBffuAPHl0\nR0Ukz8M9e4AtW4Ds2XVHQwRkyiSDFX/6SS58bdy7p/6yjRtl/6tzZ/V63rxAYKAkclWaN5eWYV9+\n+R/jJu+VOjWwbh2we7echtGESVoiR1kUIl1u3QJefBH4/XfdkdAjGIbjt49q1YDgYOD0afV6tmxy\nbeoo33nsmHRcyZvXObE6Rf/+wOLFQK9euiMhSjZunLzghg3THQn5OsOQU1gbNwJZsgBbt2q9ySOy\nkzmzjKThGH7TAAAgAElEQVQnMgHDAJAmjUyyfUBICJA1q9wKqeTIIfthjippa9aUIt0FC9Trtm3C\niB6SKhVQtqzWEJikJd92+zZQuTKwfLnuSIiSff45sG0b8NZb6vPwpF3btnJdeeCAej04GPD3l8EE\nKnv2SGGqo2sAU15Ajh8PtGoFzJihOxKiZGXKyJBP9lck3YYOBb7/Xj4A1q9XNxUnIvJxp0/L22Ol\nSur1rFmlk5Gja+jSpaVzx86d6nU/P85oJM/Gpy/5tvnzJcsyYoRsyRGZwSefAP36AcuWmTRb5/36\n9ZOJr1u2qNeTkqSF1vnz6vWlS6XdQZ066vXAQOfE6VbZsgErVqhH4RLpxPdJ0m3QIGDsWNmdW7HC\ncfaByF3++IMb/aRFeLjUQNnNXPrzT8BqRZYsclrsxAn1UzRvXknQnjql/v7+/nIqneipHT9uypkG\nTNKSb+vTB5g0SXqPBATojoZIpEwpz0tTnXX3Lp9+KjvxP/ygXo+OBq5ccdyuYNo0KcRv21a9nimT\nXEQSEZGX69cvubnh7NlAw4Z64yHasgV4/nlpv8G2buRkcXHyNlehgjrJmiED8NtvwKFDQHz8/T8M\nCQGqVgXatEGGoHgcPQqEhan3WP385HAMq2HJpf76S3pjNGwIREXpjuYhfOqTb7NY5OI6f37dkRCR\nE82aBdSqBSxapF6/cQM4elR28VWGDwdCQ4E33lCv58zp5qFdRCStiaZP1x0FUbLt25Ofk40aOZ5k\nQ+ROCQmyU5wxIzNd9MQMQ97KqlZVD+9KlQr45Rcp1o6IsF8PCAD27gUuXZK6EwDyjQICgHTpgJQp\nUbIkq2FJs/h4eYKmTm26I44Ww73HIHjmgnyO5f4WoZtfa+RJDIPHdZ/QqlXAnDlAy5ZA16726598\nIonWwYPlBKqts2dl4EDhwkDatC4P1/OsXClDb6ZOlZIGIt0uXgSKFJGL6h07gNq1dUdEvu7gQXke\nRkVJRuO775gQI/P46y95z+RzkhQGDZLuAwsXyukvWwUKSEuvkyflaWRrxw7pHVus2BOcHDt9Wgqj\neHqVzOLCBRmo6JwdA6fdzDNJS74lIcHtHwxM0tIj/fijJMJWrGBp5gN27pRTo9WrAz172q9PnQq8\n846szZxpv376tHzuliwpU2DpCdy5I1fnt28DixcD7dvrjohIzJ4td5UTJnBji/QKDZUys7AweY9c\nuJDJMCIyjfHjZezKF1+ou6eVKwccPgz8+qu6hfamTZK3eu45ICjI9fESeQEmaYme2Nq1wHvvya+q\nLUEXYZKWHEpIAEqUAM6ckSanffrojshtDh2SoqNixYDeve3X580DXntN7n0XL7ZfP3NGjlmVLevW\nl7Pv+Plnea/87DMmw4iIHhQeLjuIp04B9erJXINUqXRHRUQ+ZN48aTnQrx9QtKj9eu3awK5dwObN\nwEsv2a+vWSO/1qwpPWSJ6KkxSUv0RAwDeOEF+bT69FNg6FC3/WgmaemRzp8H5s4Fhg3zqmTY2bPA\n/PlAtmzqJOyaNcDLLwMNGgAbN9qvnzsnp+3LleOQbCIiMolr1yQxe+wYUL68HPtIl053VOTL7t2T\n1huVK+uOhJxo/Xrp69q+PVCmjP168+bA6tXA0qXqIbarVgGRkcCLL8oQLrdKSgL27ZPNLCIzMAwp\nQKlZ05U/hUlaoicWHS1NLPv2dWsyjEla8kZhYXJhmDIl0KuX/fru3TK4q3Jl2em3dfmynA4tVw6o\nX9/18RIRET2VmBjppxgRAWTPLsc52E+HdEpKkmNHS5YACxYA7drpjoge0759wJ49sudToYL9eteu\nUsPx9dfqIbY//CBtvRo3NtmJMsMABgwAJk0CZswA3nxTd0REcjLwgw+AkSNlaIlrOC3B9Lhtnok8\nX5o0wNtv646CyCNERsoOfXw88Prr9uvXr0tP2GLF1EnaEiWAIUPUu/8AkDu3DC0gE+DgOjKbhAS5\nK+3bF6hYUXc0RPI+2auXJGgtFsmeMEFLZpArl0wmf+YZ3ZHQA44dkyKFsmXVH2NLlgCTJ0vPWFWS\ntkULGQ/w7LPq79+ypVPDda5cuaSKQ9WHgUiHbNlkLlGJErojeSyspCVyMVbS0j+sVsDPT3cUAIC4\nOGDbNuDmTRlKbeviRSBfPikWunbNfv3uXWDgQEnS9u/v+njJRRITgY4dgTZtOCCMzGPSJODdd6Vq\n8eRJudkj0mnIEGDsWJmgs2QJ0KyZ7oiIkl24IBdt5DYXL8pgrrx51UnYESOkaO+DD4AxY+zX16wB\ntmyRZGzdui4P1/34nCSzcf1zku0OiB4pPh7w9zdFQoxJWgIgCdo2bYBSpYBPPnF55aLVCuzfD1y6\npD79FhUlbfQCAyXhajuUOikJePVV2cUfPZpDq73W0qWSnM2cWaaxpU+vOyIi6bHYty/QvTtQpYru\naMjXTZ4su5H+/pJZadhQd0RE5GI3bwKHD8u1sqqa9e+9xD59ZPavrY0bpQNF8+Zy+U9EXo9JWiKH\nrFbJSiUlSdPLoCCt4TBJSwCk8VTt2kDatHLVlzfvU3/L48dlQFfjxvY5X6tVnvoJCZKEDQ62//o2\nbYCsWYHx49Xr5AMMQ54A1arJg4iIki1ZIqcNDAP4/nv10RMi8jixsXJQA5D5CLa++w7o1g3o1EmS\nrbZ++kkun5o1U7f9IiKfwyQtkUMnT8q0IsOQZkDFi2sNh0la+sfatUCGDECNGo/1169dkyRsxYrq\n075ZsgA3bgBXrgA5c9qvt2ol7XemTZNkLBERET2mqVNlAE5iorQ6GDxYd0Tk6/74Qy7+8uTRHYnp\nWa0ypDYmRn0ruGqV9HVt3BhYt85+ff9+efk3aODKOUNe4NQpKYwqVkx3JETiyhW5iXbU0Nl1mKQl\neqSjR+WcSs2auiNhkpYcio0Fzp2TlgKqgu/CheUE+rFj6j7nrVtL24L//Q8oVMjV0RIREfmIxYul\nghYAevaUD1oOWCSdzp4FqlaVXfvdu+Xi0cdFRkqxQsGC9ms7dgB16sghoT177NePHgXatgVeeAGY\nMcPVkXqpsDB5TkZGyn/w0qV1R0S+LjJS8j9nz0rPkerV3fnTnXaR4O+sb0RkKqVK6Y6ACIYh1y/p\n06uTsDVrAr/9Buzbp267+OyzQMaMMuRLZcUK58ZLPsAwmGggczl0CPjoIzlKnjGj7miIgNBQ4O23\n5ff58gHTp/N9k/TLkEF279OkAXLl0h2NW1itkoTNls1+7fBhaVNQsqQkXG0VKgTkyKH+WkBuFY8d\nc268PidNGqkiCQ/npgGZQ2AgUKaMzCfy4OpuVtISuRgrab1bbKzcuwUG2izEx6Nxy1TYsAHYsEE9\nZ+SVV+Q41cyZQL16bgmXfNmffwKvvSYVYh584UJexDCkPVFIiBwlHztWd0Tk68LDpfLm1CnpI796\ntUwOIjKD2FjJXKZJozsSp4mJUc9FuHRJEq1Zs0rbAlt37kgStlQp4MAB18dJDiQkANHR3GQl80hK\nkhPVWbK4+yc7bTeX87rJ892+rTsC8mKGIdcfKj16yIXlqlU2C0ePAkWKIA8uIVMmOXmhMn8+cPo0\nE7TkJiNGSD+7ceN0R0IkLBZg+XLgjTeAkSN1R0O+LjoaaNJEErTlyzNBS+YTFORxCdqkJPWfR0dL\nAjZrVrnWtpUjh/zq6Do8fXoZjMsErWYBAUzQkrmkSKEjQetUTNKSZzt+HChSBJgyRXck5MEcFTkP\nGwakTg3MmqVez5QJ8PcHIiJsFmbPBi5exIzggbhxA2jXTv31PD1JbvX998AHH8gkOSKzyJcP+Ppr\nxXEEIjdKSJAGlSEh0uBywwYmaImeQlKStCIIDla37UqTRoqC/y56s+XvL0UOV65IHlAlBTMZROSF\n+NZGnm3nTsmQbdnieKuWyIHp04HcuYEvvlCvBwXJybJLl9TrH38s63372iyMGwdMmwb/eXOcGi/R\nU0mdGhgzhskwIqIHJSXJkZaNG6X6ZuPG5DI+Il2WLnV8lMsk6teXStjr1+3XUqSQ5Gx8PHDxovrr\n//pLqmEzZ1av83LFZH74QfpTEJnFunVeeaqaSVrybL17y3G0JUu4nUp2liyRQaMjRqjXLRbZoT9z\nRr3+1lvArVvA6NHq9dSpZaffTooUQJ8+6mlhRES+ir3ZyYyqVwd27wb8/ID164GiRXVHRL5u8mSg\nfXugTRut75vdusnLwdF1ckSEPEJD1evbt0tbgyJF1OtZs/L2zWMsXAi0aiWZ+cRE3dEQAZs2Ac2b\nA7VqyW6PF+HbInm+Zs3UHefJ623dCtSsKSe4VaxWaQ+rmvoKyPVvaCgwY4Z6PUMGeRB5HMOQFwCR\nmXz0kbxhM1lLZjF5MvDLL/L7ESOASpW0hkMEAKhaVTKY7dq5tDfWBx/I7MY//lCvnz8vLZpPn1av\nL1woQ70cvWwKFJCCBvICFSoAefNKWxhlhQqRm5UoITtAzZp53RuNxc0T53lVTj7Hcv/iys2vNa/w\n22/AqFEyiF7VkmD9epnx8eKL0vHC1o0bwIULMh02fXoXBWkYcvTHyz4cyMMNHw4cOgQsWsRNLDKH\nv/6SMdyA9P2sUEFvPERLlgAdO8rn+P/+B/TqpTsiomR37jz1xevkydJeefhwoFo1+/VWreQE++LF\nUrhg69AhyccVLgykSvVUoZA3cMJzksipIiOBtGnNMujFaUGwkpY8h2EA167pjoKc6NQpoEsXYOBA\n9Xp8vHSz+Okn9XqVKsC2bTKnSyVzZskDuPR6YtQoCeTyZRf+EKIncP26NFxeuxbYv193NESiWDFg\nzRp5w2aClnTbvh3o3FmuLceOZYKWzOcxLl4XLgQ6dZKns8qhQ3Ii+M8/1esffCCdPho2VK+XKyd7\na0zQEgAmaMl80qUzS4LWqVhJS55jzBhg4kQpn3z+ed3RPDZfrqS9elXuffz9gS+/tF8/dkwu/goX\nloStrchIqZAtWhQoU8b18T6xmBigYkWpEFu9Wsp6iczg+HHg4EG5eyMiomQHDwK1awNRUUC/fnJt\n6YU3eeT5Nm6Uva1mzdSJ1AED5On7+efA++/br//6KxAWBjz3HJArl+vjJSLyYU67kGCSljyD1Qq8\n/LKc2Vm+XM7neAhvTtJGRgKTJkmv7rFj7devXAFy55ZhyeHh9utxccD8+dJOpnZt18frEjduALt2\nAS1b6o6EiIiIHmXXLhk0cvu2nO9euJCTi0ibX34B1i6JRpVUf6Dp5zXs1keNAj7+GBgyBPjsM/uv\n//VX4MQJOdDFeXfkNJGRwKpVwGuv6Y6ESMTHA/PmAa+/buZNVSZpyQclJMjFdb16uiN5Ip6cpL13\nD5g5U7pMjBljv373LpAmDZAypRSV+vk9vJ6UBIwfLz1hW7Uy83sqERE5VVISk19kLmfOyKCRhAQ5\nx71/P89xk0sdPy4HAIsWlWpYW1MmJKLfe/7oja/w1XfB0gPsASEhwJ49QI0acnCLyOUMA6hfX6Yz\njxvnuCcdkTu98opsqg4apB5UYw5M0hJ5CjMnaQ0DWLAACA0FPvzQ/n46KQkICpJkbVSUJGRtffIJ\nkCOHXFemTOmeuInoAXFxQGCg7iiIkkVEAA0aAKNHA40a6Y6GCIiOBurUAQ4ckAubkyeBPHl0R0Ue\n7uJFacuVNas6Cfv993J93KGDzPG0dfAg8OMH+1Hjz6/w4m9jgezZXR800b9ZsAAYOhTYsUMqbYh0\nW78e6NFDTlWXK6c7GkeYpCXyFLqTtJs2yb1Ijx5yX2IrWzZpRXDpkrQmsDV8uAxN7NVLenP7tFu3\ngAwZWBJM5nHjBlCrlhz/GTBAdzRE4rPPZCLNc8/JeVxW1JJOCQnSMmvjRqBgQZk4WrCg7qjIA/zd\n0SplSvXYgdWrpXtGw4aSO7B19Cjw9ddAtWrSXcOh2Fj1RTqRLnxOktmY/znJJC15ubAwyQwGB+uO\n5Km5OkkbEiJzq5o1Uw/dLFpUhnIdOSJDumx9+KFUzPbvzw38R7p1S86bPf+8XHEHBOiOiAhYvBjo\n2BEoXVqSYea+eCFfYRhyHK1zZ06rIb0MA+jaVUoas2SRs+Ns3kn33b0r19H37skJb1u7dsnMhCpV\ngH377NfPnAFGjJD1Pn1cHi4REZmX05K0/s76RkROc/s28OKLUra5Zg2QKZPuiLQ6fVqSsJUry/2F\nrT595ALz55+B6tXt19u2lUoAR6ehVb1mSeHIEeDcOfn93btSUUukW4cO0gy6WjUmaMk8LBb1qHEi\ndxs6VBK0wcHJzUHJZyQkAMeOya2FakDtmTPSBaN4cekfa6tIEaBpU6BCBfX3f+YZmWVDRETkLEzS\nkvmEhwN37gCJiVIB4eXCw6XStXBhaT1g6623pN/V2rXqo1b160u7IEdFx0zCOknNmsBPPwE5czJB\nS+bStq3uCIiIzOfvQSP+/sCKFUClSrojIidLSpJ2XVevSjGDratXgfLlZXbC1av26wULyh5nyZLq\n758zp9SLOM2KFUCxYnL6hcgMNm+WwqgqVXRHQiT275cTrA0b6o5EG7Y7IHO6dAmwWoH8+XVH8tT+\nbncQFmYok7Dt2gHLlgHz58v9hK2PP5YjVkOHym4/ERGRqSQmSiKMyCwGD5bJ5ADwv/9JY33ySFFR\nwPnz6rxmZKS0+goMBGJi7EcGWK1SBZs/P7BqlRw80WbfPinnTZ1aTmepBkEQudPx47J5lZQkxzJV\nffGI3OnyZRkMdueOFEfVqKE7oifBdgfk5Txo4q5hSAtdf391O4K/LVum7ldVrhwQGgqkSqX+upEj\nnRMnEXmBqCjp101kFsuWAaNGyVHyvHl1R0MEbN8OTJwov2/UiAlak7Na5b48b151kjVTJtkHiomx\n7+qTLp3kldKnl49H2wG3fn7A4cOujf+xlS8vvRMKFWKClsyhSBGZaJeY6LicnMidcuWSaedHjqiP\nR/gIVtISPYbYWBkqoBrMNWQIMHYsMHq0DOGy9Xcl7VdfGejd28WBkvNcucKBN2QuK1cCvXsDP/4I\nVK2qOxoiyaBUrgz89hsweTLwzju6IyJfd/CgVCtGRQFvvw1MmgSkSKE7Kp8XGSkFpKpK1pw5gWvX\n5KEaYFumjBT6bdzoBftAVqtkovmcJLMwDHle8jQMmYlnntByWiUtPyFIv6NHdUcAw5BErMqkSdLv\ndfRo9XqBArLLb7U++mcwQetBVq2SSgdOgyAzWbxYmljv2KE7EiLh5ydN06dMkYQYkU6hoVI5GxUl\n1WFM0LqN1er4OrhiRSlyOH1avZ47t/SMvX5dvX74sNwqeHyCFpD3TD4nyUwsFk9MhpG38/HnJD8l\nSK+1a+W8/6BBLh8SlpSk/vOFC4E0aRwXAOXIIe8T0dHq9Z49gRs3gOHDnRMnmcDvvwPx8TL2l8gs\nFi6U5tVDhuiOhChZxoySoLU9p0zkTuHhQIMG0n+qXj1g7lwmw5zM0WV6y5ZSzHDggHo9QwbpGXvt\nmnp93z4Z6lWmjHqdby1ERORLePVCekVFydVXYKDLrsI2b5Zd+g4d1OuZMkmfK0c7+K1aSZXtV1+p\n13kP4IVGjQK2bpWpbURm4e8v0wV5x0pElOzaNen3eeqU/LpypeNG//TE+vQBsmaV62kVPz9pCXbx\nonp95Urg7l3pQqESEOCcOE3l3j2p3nBU4UHkbklJcn8TEaE7EiJhGNIz0tGHhw9jeon06thRqhZH\njfrP3+LAAZn42ry5ej1dOmkvGhqqXn/hBeDWLWnzqJIypc9X3PumevWYDCMielBcnONjKUQ6JCQA\nFSrIhV6aNMCGDfbTo+iRPvkEKFoUWLFCvR4fL3mds2fV6zNmSBK2TRv1erp0PljQ8N578h+2fXvd\nkRCJMWOk+KRxY5efXiV6LN98I6cD69aVjS36h699ZJIZlSnzyGTY6dNAzZoyEFUlTRrpVXXkiHq9\nfHlJ0O7bp14PDJSjWEREphETI3e9RGaRkAC0bg107Sq/J9LNMGQK9LVrUs65YoX0qKKHzJwJVKki\n3XJU7tyRIuSTJ9XrI0YAly8DvXqp17Nlk3YH9IB+/aSd21MUoRA51euvA5UqAZ9/ziIUMoc2bYBa\ntYBPP5WqOPqHxXDvTgq3bcjO9etyjZ2YCKxfb79+7ZpMfs2USXq/2kpIkARtwYLmTLZa7n8Quvm1\nRo8rNha4eVN6YhCZQWKi9FkJDwfWrAGyZNEdERFw6BBQvbrsbIaEyIcukU5DhshRyeBgYPt2oHJl\n3RFpsWIF8O23sofSo4f9+ujRwLBhMv7hiy/s18+dkz3BggWZbHWqpCQfLCEmU+NzkszGu56TTtv9\n4CFucrmYGOCtt4CI61as/fRPKW19QJo0kofw95fJsH5+D3999uzAtm1AoULq7x8QICfdiJ5YYiLQ\nqZP0zNi4EShVSndERLIzdfiw9OyOiGCSlsyhXDngp5/kgpoJWtJt8mRJ0Pr7S5bSixO0P/0EfP21\nFBy9+ab9+tWrcgmTL586SfvKK9Laq3hx9fcvUMCZ0dI/vCfxQN6Cz0kyGz4nlZikpaeWlCStl86d\nA5Yvt0+yBgYCS5YYiIvzQ+RPDZDuh7lAw4b/rAcHSz/YvHnVpy8sFmlVQuR0MTGSBONgBzKTPHmA\nvXvlfKmju2oiHSpV0h0BEbBkCfDuu/L72bMfuqb0RL//DsyaBZQoAfTta79++TKweLFcb6uStE2a\nAPnzy3wGlYIFua9CRETkKZi6psfy+edAly7qXFaKFMCiRcCqVTK3QbU+d3YStjUch1QpDeWx8pdf\nlmpYbqaQW6VLJ+OKd+5kFS2ZS65cTIgREdkaP15KQ/+eCt25s+6I/tXp08BHHwFTp6rXr1yR4Vtr\n1qjXa9UC5s4Fhg5VrxcsCDRrxkSsNr/9Jn0k2NaMzOLUKWD4cA76JPO4ehUYPJgzDR4Te9ISAGDO\nHDldO3SoDACwVbw48Ndf8nfKlLFfnz8fCAoC6tcH0qZ18EMMQyZ4Oepb4KXYk5aIiDzOnTtA+vS6\noyBKtnUr8NJL8vsWLYCVK00xAOfqVWDhQiBVKnUl7M8/ywDc558H9u+3X79yBVi2DChbFqhTx/Xx\nkhPdvQsUKSJPgrlzgdde0x0R+brERCmr/+svYNw4YOBA3RGRrzMM+RDcs8dxc3Tv4LQLEiZpfcSa\nNcDBg0C3btJWwFaVKnLhuGuXvIZszZkj/WKbNweyZnV9vN6ESVoieqRLl+SEgQmSDUQAZEe2bl25\nwevWTXc0RLLJX7UqEBYmZ/tPn5Z+tG5w5460vb13D+jd2379yBEpYChaVPIitm7cAKZMkbxJ27au\nj5fcbPly4Pvv5VdOKCcz2LpVjsGuWiXDX4h0CwkBBgwAfvjBm2dtMElLD9uzR07bNGkCPPOM/XrD\nhsCmTcDq1XIkytbs2XIR2bYtBwg4G5O0JnLsmFQ8BATojoRI/Pmn7Ix17w58+SV7vpA5jBsnx9La\ntpX+n9xAIJ3Cw4Hq1eUIb716wNq1MvDASeLigA0bgJs3gddft1+/dEkKHLJlkxyxrZgYOYlWrJgM\nyiUfZBh8nyRz4XOSzMb7n5NO+8dxcJiHOHpUKmGff1526m1NnSr3URkzqpO07doBzz7ruF9V9+7O\njRe//y5jZr13p4Q8zdGjQI0aMgF65UqZWEek28mTcod//jz72ZF5DBokrYmaNPH2C2oyu+hoeR6e\nOgWULy+f30+YoLVagd27Jdn66qv26wkJQKtW0q6gWzf7vbJcuWQuQ4EC0uLRdj04GJg8+cn+WeRl\n+D5JZsPnJJkNn5OPjUlak7h4UU4XFi4sO/G2pk4FZs6U41KqJG3DhkCGDI7bvTo9CfsoJ05Iz7Cs\nWWUgU/bsbvzhRA7ExkoFbWAgj6ORebRuLX1mypcH/Px0R0OUrHVr3RGQr0tIkGrukBCpMtiwQQZ+\nKhw6BJw9K225VAcS6tdPTsba7tGmTQt07CiXrXFx9uspUgDffeecfxIRERHRozBJ6yY3b0ruMnNm\ndRJ2+nQZUjtqFDBsmP16jRrArVuOK2G7dpWHKaRLJ/0V8+eXfzCRGVSsKI2Xc+RwWx87osdSpYru\nCIiIzCUpCShXDjh+HMiSBRfnbMWZEzlQNaNUvNqqV0/adl25AuTM+fCan5/sOQQEyMEF1UGahQtd\n888gL/Pxx9Kvu3Zt3ZEQiYkTpUqreXPdkRCJuXPlM5wzDf4z9qR1krg4mWkQECDVsLY+/1z6VQ0Y\nAIwfb7++bBnwzTdyDMsrBoPeuSP/MXiknD1piYjIvAwDiIjgVFDSKipKKmGLFLl/6fj3MAWLBdi5\nE0W618Tp09JavkQJ+6/v2FE6I0yZ4riggeip/Pgj0KKFDGI6d46FKKTfvn1AtWpSfHLyJN/8SL+T\nJ4GSJaXP0IEDwHPP6Y7IndiT1t0MQ4YFxMdLgait774D3nxT2grMmmW/XqqUFPLZ7u7/rW1bL5v4\nmj697giIiMzFMKSvoqpnDZEuH30kFzEbN8qIeiIXsFqBy5clr5U6tf163bpyP7d3L1D118nJCdpR\no4CaNfH88zK4Kz5e/f0XLXJt/ERo2hTo0weoWpUJWjKHKlWkujtjRiZoyRyKFgUmTQKuXfO1BK1T\nsZL2AbGxQGSkuoXqkiVAhw7Sy2rFCvv1bduAXr2Ali1lKDLR31hJq4FhJO8uE5nF8OHyAbFkCfDy\ny7qjIQLu3ZMe8nv2AKtXA40b646IPFhUlLQWUB2i+rswdv16oFEj+/WuXYFffwWmt/kJdUbXk8/x\n778HOnd2edxERERET8lplbSK1vreyzAkCauyfbtcVHbqpF4vWBDIlAkIClKv16sHnD7tgwlaw5BJ\nu0lJuiMhSjZqFFC9OvDll7ojIRKGIbvK9+7pjoQoWcqUkjnbtIkJWvpXVqvjStZu3WQkwY8/qtcL\nFJDTZHfvqte/+w44Nm076nzeQN4vx45lgpaIiIh8jtclaRMT1X9+6JAcr6pTR72eJ4+0c7Fa1euV\nKk3nouYAACAASURBVMlAgvnznROn1/j8c5nG0KOH7kiIkmXOLC9oVYNoIh0sFmDmTCkVYxUtmUlg\noOw0E8HxnvsHH0ihwuzZ6vVs2eSpdOuWen3GDBnq1aaNgx988KD0+0xIAPr1AwYNeuLYiYiIiDyd\nxyVpHZ0Yv3BBEq3Fi6vXc+aUdga3b6vXCxeW9R071OsWpxUve5lKlaT/bJMmuiMhSta3r/T+bNFC\ndyREySwW9mciIlOaMkVmx40dq15Pm1byp9euqddHjpQq2bfeUq+neNQdx65d0uczKgpo3x6YMIEX\n3qRXWJgMCwkL0x0JkYiMBNq1k0nlRGYQHw+88grw55+6I/E6HpOkvXMHKF1aPbQLkB38y5dll15V\nDZs1q+zunzmj/voUKaTwjp7Qiy/KON7WrXVHQvSwAgV0R0BEZC5Xr7Llho9atEjmeQwbpl739wci\nImRovUrfvkB0tCRjVQID/yUR60h4uDSsjY8HcucG5s79j9+IyInefhtYvlye+ERm8OGHwLJl0sCb\nc07IDL74Ali4UAY3OTqOTv+Jaa6CrFagdm3Jq6j+P06XTjaOLl6UhK2twEDg/HnZZPLzs1+3WIAM\nGZweNgHSrJeIiJJdvCjJByKziIiQnk9Nm0rFInmVzZuBypWBwYPV64YhB0xOnFCvd+woxQ5ffaVe\nT5tW2oY5VXS0nMSKjZWL9F9+AVKlcvIPIfoPpk2TStpp03RHQiTGjJFk2Jw5PGlA5jBoENCliyRq\nVQk4+s8s7pw437EjjCNHZIhwunT267lySZHHuXPqitljx+TvMNlKnsRy/4PUna81n3LpkpTJlymj\nOxIiceMGUKOG7Dhu2eL4CAiRO/35p5x+yZFDjpenT687InoCISHA8OFAiRLSDcDWhg0y++3FF+Vt\nx9bNm3KNXbCgDMrVLiFB+nNv3ChB7d0rz00iIiIiz+O03RO3HvA/dAg4flwqYsuVs19fs0bm/eTJ\no/76kiVdGx/9i8uX5f9EToAms7h1S45JXrokd6WVKumOiEiSD6lSSZKWiTAyizJlJBEWFMTnpQn9\n9RcwYgSQPTswaZL9emKi5DMjItRfX7UqsHu343mZmTKZ6OCTYcjA2Y0bgSxZ5FcmaImIiIjcW0m7\nZw+M4GCpAggMdNuPJWe4e1fuAI4eBVas4ECmJ8BKWheKi5OG5SdOyN2pae5AyefduSPvm7ly6Y6E\niEzgyhVg9GggIACYPNl+/fhxKUYoXFjaEtiKipLhtkWKOB6S6zGGDJEJZcHB8o/iBisRERF5NqdV\n0ro1SQuAWSpPZRhS4rF0KfDzz1LyTI+FSVoXs1rlHGfWrLojISIiH3XnDjBunOzNTJxov371quzZ\nZMmiblcdFyeXWIULA9WquT5ebVq1An74QfrXrV0rp2GIdFqwQE4ZTJnCvopkDhs3AvPnA7NmsU83\nmcP+/cDnnwPffy9N6kmFSVrS5O5dF0yOML8CBQrgwoULyrXs2bPj6tWrDr+WSVoiInK748fl6BI5\nRXy8zBC6dk2SsbZiYuTyKGVK+b1trscwJAdUqJDMbvPJuS9TpwLvvCO/HzYMGDVKbzxEN2/K1Oqo\nKGDVKqB5c90Rka+LiwOeeUaOX8ycCfTsqTsi8nVJSdIy69gx4JNPgI8+0h2RWTFJS+ROBQoUQGRk\nJPr372+3liZNGgwYMMDh1zJJS+Tlfv5ZSt9SpNAdCZFYtkymQI8cyYvpx2QYMjQ7NFT+s9m+nJOS\n5HR+fDwQGakuJBk7VlqrduwoyVp6wPbtUjWbkAA0aSJVtERmsHs3sHWrvPCJzOCPP6Ri8csveW1J\n5nD6NDB+vOw2BwTojsasmKQlcqcCBQogRYoUOHv27BN/LZO0TrRuHVCrFo9ZkHmsXAm0aQO0awcs\nXMiLaTKHr78G3nxTmqAOHao7GtNYswY4eVL+0wQH269nzw5cvw5cvKgeYjt6tHz8dO/Oj6EncvAg\nULu2VCv26yf9IHyylJiIiIi8lNMubPyd9Y3IyyxdKoMcChbUHQmRWLNGBtZVqCCVi5w+SGaQIQOQ\nJg1QujQTtGQePXsCzz8PlCunOxK32rtX5ki2aiUvTVsDB0qStkEDecnaevNNqah1VAXLouT/IDQU\naNRIErTt2wMTJjBBS0REROQAk7Rkb9s2oFMnGcR05AiHhN0XFxeH+fPn48KFC0idOjXKlSuHWrVq\nIQUTM+5RooRsGjRtygQtmUfdusDRo+qyOyKdypfXHYHTHT8uSdgaNdSzIvv3B0JCgKJF5e/Y6tAB\nuHVLXUULyHxUcqLr1yUjHhYG1KsHzJ3LzSzSyzC4SUDmwuckmQ2fk9qx3QHZu3MHaNkSqF5dmkMT\nChYsiPPnzyv/fM6cOahVq5bDr2W7Aye6cwdIl44fHEREXujKFal0LVFCWg/Yql8f2LJFDlY0bWq/\nPmIEcPYs8N57PldEbD7Xrkm2PCpKNgx27pTPbyJd7t2T9kSvviotioh0S0oCXntNdhV799YdDZEk\naPv3l53wDz/kPfeTYU9acrF796QpNF+YAIBRo0ahVq1aKFWqFNKmTYszZ85g2rRp+PrrrxEYGIh9\n+/ahbNmyyq9lkpaIiFzm7l3g/HmgZEndkfyrqChJombPLgO2bLVrJzPP5s2TPIqtTz4B9u8HBg2S\nFqdkUgkJMgn6r7/kWvLsWZ42IP3mzwc6d5Y3n1OnpFURkU6bN8tpg7RpZYdS9cFI5E6//w5UrCif\n3YcPA8WK6Y7IkzBJS2QGgwYNwvjx49GiRQusXLlS+XeYpCXyEjExwL59cmyXyAwSEqRX988/S3np\nI051uIPVCly+LB1psmWzX+/ZE/jmG2DqVKBvX/v1sWOB1auld2zLlq6Pl1zAMICuXWUyeVAQsGqV\nlEAT6WYYMp28Th3gued0R0Mkvv1W2rnx2pLMYuVKuaBr21Z3JJ7GaUlaNoYiegq97x9N2b1797/+\nXYvF4vAxgo3wHhYbC3z3nVxQE5mB1SoNLevXlzI/IjNISpJqsIAAdX8AF4iKAm7eVK998AGQPz/w\n9dfq9ZIlpZVBqlTq9fffB/bsYYLWow0dKgna4GBpccAELZmFxSI7QEzQkpn06MEELZlLq1ZM0GrG\nJK2vi4sDRo8G4uN1R+KRsmTJAgC4e/fuv/5dwzAcPpikfYBhyHG0bt04xYXMI0UKoFIlGRlfsaLu\naIhEqlTAokXSA8BJR9KsViA6Wr02YYK0Ff3sM/V6oUJyWtNRp6T+/YFjx4A33nBKqGQ2kydLObS/\nP7BihbxnEhEREdFjY5LW1735JjBsGPD667oj8Ui//PILAKBQoUKaI/EiFgvQqROQMycHO5B5WCzy\nXnnihJQCEplFihTAM8880ZckJqr/fP58OaH+7rvq9dy5pZVBXJx6vWdP4OpVmTVBPmbRouQnzuzZ\nQMOGeuMhSkrSHQHRw/icJLPhc/KJGYbrD/sySevr+vUDiheXM4akdOLECWWl7Llz59D3flO9V1UT\nTui/a9UKOH0aKFVKdyRED8uaVXcERP/K0cXjpk3yFO7QQb2eNau0uXXUzqB1a5lTNnWqep2zRn3U\nl18Cr7wiT7yxY+U0DJFOv/0GVKggA8KIzODUKaBcORnMRGQGV64Azz4L7NihOxKP0auXHKrctMm1\nP4dJWl9Xvjxw5IhM4SWlxYsXI0eOHGjatCneeustvP/++2jTpg1KlCiBM2fOoEmTJhg4cKDuML1P\ncLDuCIiIzOXAASAy0uFySAhQtCjQtKl6PUMGICICuHRJvV6njrQ6WLFCve7vL4W7RP/4/XfZ6DcM\noEoVYNAg3RERSbusw4elBQeRGYwdK/fcjvoFEbnbtGnAoUPyfsk5MACAjz8GChQAli5VryclyWX4\nuXOujcPftd+ePIKfn+4ITK1u3bo4efIkDh48iD179uDu3bvImDEjatWqhc6dO7OKlsgb7d0rzTXZ\nyoTM4vBhnHrhDbxqfI8MlYtj0/YAu7+SLp0U61it6m9Rvjxw+bI8tVVSppQH0WMJDQUaN5a7ltKl\ngd27WU5N5rBokVR4f/CB7kiIxIwZQJ48MryOyAw++QRInVrKQ33ks3vGDODbb+UweZcu9usxMcD5\n83KgV2XUKNlnyZzZtXFaDPdmzZmiJ59juf+m5+bXmufYs0fO177wgu5IiMSxY0C1atJ8c98+oGBB\n3RGRjwgLk4tGqxXYssVmMTQUYfU6IUfoPmTKZODGDfsL6oQE4ORJqQJIndotIZOvCg8HqleXXYF6\n9YB162SQHREREZEGS5cCM2fKWJv/s3fncTaWbRzAf5PB2PfIbpA1UZYsWZKyRCRZCi2kzVaIEiUt\nkrJEi+z7WySyy5Yl+75kG/ueMWYw+3n/+FVyznOEOefczznn9/18fF6v25y54nHO/VzPdV9Xp06u\n6x99BPTty0M/n33mun78OOcuFCx4R1saj2W6VUkbTNat4zELjVUWuzhyBGjcmE0OV6/WJGixhwIF\neC1mzsxPaREPuXKFH8EXLgCLF7uuZ87MPlehoUzU3nDQpUgR3L1+Ln7bEYfwUtY7x9Sp1cpbfCAm\nBmjUiAna8uWBWbOUoBURERGvWroU+Ppr1nZ17uy6fv48sGyZ+3m6zz0H1KsHFC9uvV6ggMdCTRFV\n0gaLixfZqO7PP4GffwaaNDEdUdBQJe1NJCUB3brxsdWPPzIzIWIH8fE8whsWZjoS8SPJydw0HjkC\nzJnj2k3I4WC77dhYICqKSVlnCxdyk1iqlPq/ig1duwY0a8anCUWKXG8NI2JKcjJ/aA8pduFwAImJ\nfHIqYhcJCba/JjdtYiVsmTJMETibMoWJ1hYtrPvGHj0K7NsHlC5tJOHqsUpaJWmDyejRwPz5wA8/\naCPjQ0rS/gdtZETEj3z4ITtifPcdkCmT6/o99wBnznCjaFWIPXs2kDMnULmy+r+Kn0lOZvnJ4cNs\nyLZ2LQsAREzq0YMNBKdNA9KlMx2NCDB4MFvAzJ7NiZ0ipo0fD4wYwevS4IPV/fvZE/aee4Du3V3X\n583j8Nt69axPnB0/zk6JZcvyh80oSSt3yOEImsbQdqEkrYiI//juOw677dcPyJ3bdb1UKT6l374d\nKFfOdX3GDFbL1qkDZMx4h0E4HCzFbdJEn9liHx06AGPG8OfTpwMtW5qNR+TUKd6pR0cDK1eyn7yI\nSZcvs4zv5El+jjdubDoiCXbx8WxNtHcvMHYs8MILXvtWp04BEybwIKJVEnbNGqBGDXaV27DBdf30\naT7bKFsWePhhr4XpLUrSivgLJWlFbMzh4CPdtm3V2iBIzJoFbNkCvPyydaVr1arA77/zfr9mTdf1\nyZNZUNiwIStivaJvX0436NoVGDrUS99E5DYMG8azh6lSAR98ALz7rumIRGjPHiYfmjc3HYkIHT3K\nTUS7dqYjEaFz57gBfuWVFL3MpUt8RhsfD3Tp4rq+ezcTrMWLs2rW2cWL7ClbpgzQtGmKQrEjJWlF\n/IWStH9xODhGsX179a8T+/h7zGeDBjxjo6pFv7dyJbBxIzd/xYq5rjdowL6v7gpcJk4EIiPZdtPY\n3LjZs/ngYPp0DmgSMWnGDKB1a36OT5zIa1NEREQCyrVr3B9HRlrnc0+eBPLnB3LlYt7X2dWrQP/+\n7IQUhLPqlaSVm3A4gPfe4xPlChVMRxP0lKT9y/DhrAorXZrnhNUXWexgxw42Pxo5UkfS/MT27cDm\nzTzVWrKk63rr1sxtTphgXcQycSJbaj7zDN+ObOvPP9n3U8SkZcuA+vU5cGTQIKBXL9MRiYiIyB1I\nTOTH+okTwIsvuq7HxHDeQpo0TNg6D7BNTmbytnBhoHdvDbh1oiSt3MTkyaxyyJWLd6J33BRPPEFJ\n2r+cP8/+im+/HZDnG8SPxcaq1YGNREQA27YBJUpYJ1FffRX45huevrY6ajVpEitp27QBHnrI+/GK\nBKx164DHH2e/z65dgS+/1GkDMevaNQ0HE3vRNSk2s/G3WBw+mRYtnglxSaImJXFuQnw8E7IZMrh+\n/fPPM400YIAu7dukJK3cRHw8H400a6b+TDagJO2/JCfrkZtIkDt/nj2rcufmEC5nffoAn37Ktpf9\n+rmuT5sGzJ/PJGyDBt6PVyQorVrF6XfJyRwQNnWqPr/FrLNnOUnmtdfYH1nEtMuXgdq12aT+ww/1\nEEt84tAh/qhVC0ib1mkxLg65Ml3DhYSsOHksCXkLpHL5+nbtWCn76adenK0QnJSkFfEXStKKSDC5\ncgU4eJDFySVKuK4PGsQjUt27A1984bo+cyYwbhzbFjz7rPfjNe7IEZYP16ljOhIROn+eZewXLgDZ\ns/NcpMppxLRJk5hdeOABYO1ai+yEiI8tWMBWWUWKAJs2AVmymI5IAsCff/IwdOnS1pWuxYtzn717\nt8WJs99/R7vqh3AlTVYMWVERhavk9knMAsCDSVo1hRQRkeBw7BiwdKl1Eya5ZUlJHByQmAiEh7uu\nT57MflUvvACMHeu6XrYs+8m6G8rVvHkQHQK5dInHySMiOLiuXj3TEUmwi4nhsLoLF/iPdM0aJWjF\nHtq25dO/mjWVoBV7aNCAU5ZKllSCVm5ZfDxvSfLkse5KWb8+c/5r1nC/7Kx6dQ7vSkiwePGHHsLE\nFQlA5szA/UrQ+islaUXE844fZ9PIAQOAVK7HLER8Li6Ou569e/n/lai9qcuX+SN/fte1H38EWrVi\nR51Zs1zX772XbQxyu9kbNmrEHwJuohs25BSHypVNRyPBLiEBaNGCTZ2LFGG1Yp48pqMSua5FC9MR\niNyoYUPTEYjNOBzAxYt8pmRVCdu4MbB4MZ/NW10+99/Pj+P4eOvXHz/+PwJ4+OHbDVlsRs2l/N3J\nk3yyHBVlOhIRcjiAp54CPv6YSVoRO0ibFujRAyhfntdnkEtK4nEqK0uXsiCkXTvr9fBw5m3cFY3U\nqQPs2QN88olnYg1od93Fng9r1qgKR8xyOIAOHYCFC9mkbuFCJWhFREQsxMdzZpyVdu34Mfrzz9br\nxYoBhQpxbrGV77/nAN3atT0SqvghJWn93Usv8WzpW2+ZjkSEQkI4AbpGDU6DFrGLF19khVjWrKYj\n8Ql3m79t2zjZ1d3J+kKF+PTfXRF8pUrA6dPsGyseEBJifd5NxJfefBOYOJFvDvPnsyRexCQVoIjd\n6JoMGg4H23pZefttdgFytw/Ol4/buuho6/WvvuI4Ao/UjOiaDEhK0vq7b78FmjblJBYRu6hRg5Oh\ns2c3HYnIjUIDp8uPu1mEx44BuXJZDBP4S758rAC4etV6vVgxDv9assQzcYqIzT31FDB0KJ/MzJzJ\nJzEiJk2Zwg+j9etNRyJCCxeyDcyiRaYjES/78kvWc3z2mfV6tmzcg1+4YL0+YABbhnXqZL0e4qnx\nUuvX85qcMcNDLyh2oSStvytUCPjpJyBHDtORiNzIY59AIvJvUVEscrvnHuv1u+9mK4Pz59nWwFnO\nnJwNtG+f9deHhPAUvnjBtGnAqVOmoxC5bto07iMBoGNH9u4WMcnh4MOCCxeAdetMRyNCs2cDkZHA\nihWmI5EUmjwZKFwY6NPHej0sjEnW48et1zt35mm1fv2s19Ok8dFt8Lx5vCYXL/bBNxNfCnG4K8Xx\nDp9+MxE7CPnrXdrH/9ZEgtu4ccB99wEVK5qO5LYlJbEY/ehRVsU6F/86HDxGdfUq92ZW3RvOnGGy\nVslWG5k7F3jyST5c3blTLQ7EvGXLmJRNSOB8g4kTTUckQgkJfHjwzDOmIxGh5GTghx94TaoQxdYW\nLADeeYczEr74wnV92jSgTRugeXMOw3UWFcW3oBw5bP5X7XDwmmzWDEid2nQ0AnjsalGSVsTLAj5J\n+/33QKZMQMuWpiMRoZUruTPLkAHYv999yalBTz0F7NrFFrlW86Ly5WPBZUQEn/Y7O3AAyJvXemqs\n2NSFC8ATTzBR6658Q8RXtm4FatVi07yuXXm+09Z3oyIiIjzl/847bOs1YoTr+oIFQMOGQN26HIbr\n7NIlnjYrVIhVryIeoiRtUBo7lnfsAwZoI+1HAjpJu3MnUL48n+Tt2AGULWs6IhE2XH3pJaBECaBv\nXyMhdO4MbNjAE5v587uulykD7NnDPEn58q7rO3awLUGePKqGDShxcT48ByfiRkQEULUqcPYsH7BO\nnao3GhERsYV9+4B33+UeeORI1/V164Bq1YAHHwQ2bXJdj4oC/vgDKFpUHSHFp5SkDTqnTgHh4bzB\n+/VX4JFHTEcktyigk7QOB/D555wy9P77pqMRue7vf29eSoYNHAisXs1ZOyVLuq5Xrw6sXQssXw7U\nru26vn49T7sXL66n+CLiQ/v3A40aAQcPssxo3jwgbVrTUUkwi4nhQ4L06U1HIkJxccC1a9b9pCTF\nTp4E+vfn/nfUKNf1vXtZJVu0KD+qnMXEAGvWcLZg0aLej9cWkpLY4yxnTtORiHtK0galX35h2dV7\n75mORG5DQCdpRQLUd98xwdqrF1Chgut6o0bA/Plsmde0qev6b78xP3z//ewGIiJi3JkzvKu9coU9\nu1evBjJnNh2VBLP4eLaBiYlh326VvYlpyclsWLp7N8/NWx2Hkpu6dAn4+GPOTvjqK9f1M2fYiSxH\nDnaCchYXx/11sWJ+OVrC8xwOoEsX5oIWLeL0YLEjJWlF/IWStCL2M2sWDyW0bQs89JDr+rPP8gTw\nuHHA88+7rq9YwVaOVapwQJfIDa5cYaO0Hj1cJ7+JmJCQwF7da9bwmty8GShXznRUEuyOHgVq1uSo\n9LVrg6gsTmzrwgVekydOcMaB1ZP6IBcXx4FcZ84Aw4a5rl+9ypkJqVOzIDlVqhvXHQ7g22+BIkWA\nxx5TB6j/dPUqP7+3bWOS1uqIntiBkrQi/kJJWhEvunqV0wP69weyZfvnl1es4LCAxx7jXtvZ66/z\niNWXXwLdurmuL1vG/XnNmtaDu0RuqkULjgx+9VXrs3wivuRw8GnTxIl8n5w+nW+OInZw8iSn+Fg1\naBcx4eJFtoaxeoofBP5OokZEAJ984tqyPDmZSdjYWODyZesTY19+yWrZ5s2ZrJUUunKFDXhr1TId\nibinJK2IvwiYJO21a0DHjmy3UaKE6WgkyG3bxkrYB5YPQZ15PTjGdd68f9bffZdHrfr3t26XvGwZ\nh3PVrctTvyIetXYtk2Jz5+r9Uszr3RsYNIg9P1esACpVMh2RiIgYNGsWh2t17WrdDjpPHs6WPH7c\nuuPDoEHsltO2LWcsiIiStIEtNhZ4+mn2HlGlg98LmCTt31mv8uWBLVt0NkW86tAhnjIrUoQnfJwN\nHsx+sV1fvIyh+xuxiWypUv+sr1zJnrJ16wIPP+zDwEX+lpioVgdi3rBhPC4QGsqHBvXrm45IRES8\nbOVKDuBq2fKGg2b/KFGCxcI7dwJly7quf/wx/7djRyBXLu/GKhIglKQNaCNHAm+8wTO2+/Zp6q6f\nC5gk7ZUrwMsv82h5mTKmoxE/d+YMsG4dN45WrZVGj+bl1r49MH686/ratcCMGUzCNmns0EMDERFn\nX33FB/4OB1sdtG1rOiIJdkePAoUKmY5C5Lpjx4ACBfxuH7lzJ7BnDwsZrGYjVKkCbNjAQbY1ariu\nDxwIREWx/ZfaetnMiRMsZdaDfn/jsTcR/c3b0auv8nxBixZK0Ip9ZMgATJliOgrxE5cvs+A6VSrr\nStbffgOeeQZ48knrJG2FCsBzz7lvvVStGn+Qf22sRUS8bsgQDq4DgE8/VYJWzNu8mR/4L7/M4zDO\njS5FfO3AAW4mGzVidYCNmqceO8ZarfvuY29XZz16AIsX84DEE0+4rjduzK/NksX69fv29Wy84iGn\nTjGrfv/9wLRp1r0oJOApSWtHd90FDBhgOgoREbfi4rh5jI3l03pn69ezW0utWmyB6Kx0aW4qryda\nb1SxIjBpkkdDFvGOFSu4qW7TxnQkIrR1K1sUAWxR1LOn2XhEAODwYW4ezp41HYkIHT3KAbRnzvj8\nW0dGAgcPAvnyAXnzuq737An873/uD0HUrs1esErCBpiTJ1npcvYsT8FIUFKSVkREXCQn87TNxYvW\nA5d37AAqV+aD3m3bXNeLF2cC9sEHrV+/TBk+/b8tq1YBS5bwIZafHUuTAHXqFMvBL1/m0bRHHjEd\nkQS7iAigQQMmw+rWBRYuVMWi2EOLFkDBgjwqo2tS7ODRR4HVq7lp9XAVbXw8q2EzZLCuhO3dm+MU\nhg8HOnd2Xa9UCTh/3n0Stk8fj4YrdlGpErBmDRsBZ8hgOhoxRJ+QdqCnJGI3a9YArVrx6bIErOho\nDg2wcugQ28Y1bWq9Hh7OOV0lS1qvFy7My2jIEI+ECsTEAM2bs4mW2m6IXeTNC/Trx94d7npziPjK\n+fPA44+zAqduXWDePPW0E3upUgVIk8Z0FCLXVajAktTb5HAAf/7Jt10r773H3O/331uvly3LQgd3\nebgePYBly4AmTW47NPF3pUoBOXOajkIMUpLWtHXrgIceYmm7iB0kJgLPP8+pTKNGmY5GUiApyf1b\ny4ULQObMfGBr9ZyoUCHmnwoWZFWtsxw5OLBg+nTPxuxWxozXz3y1bu2jbypyC956i/8QUqUyHYkE\ns5gY9lU8cIDHH2bN0lwDEZEUiI/ncC0rQ4YwjzZokPV68eLcQ7sr0O3cmSfRXnzRM7GKSOBQktYk\nhwN4+22OXhwxwnQ0IhQaCsyZwwF23bubjkb+Q3S09a8nJDCvWagQf+4sRw5Og82f37pgOk0aJnhX\nrbLRqcQGDZioVTJM7EbtN8Skq1eBhg2BjRuBIkWABQv4FE7ElORkNq4XsQuHA9i71+WXYmOtf/vE\niUC6dHwOa6VgQSBTJhZEWOnQgS1ve/dOQcwS+JyuSRFASVqzQkKA2bM53GHgQNPRiFxXqhSraJUM\nMy4pyX1HlCJFeB8eGem6ljo12xnlymV9FCskhHMSdu9WyyMREb+VnMwR3r/9xuaFCxeyP7KIUlDO\nsQAAIABJREFUSb16AQ88APzyi+lIJMj9s4cePBgoV+6fqbQLFgBZswLPPWf9dXny8GvdFUM0b84q\n2y+/9HzMEiTGj+eQDl1E4kRJWtOyZ2eCVj3DRMRJrVpA+vR8Em8lUyYgLIyzi6wcPAicPm09NRZQ\n8Z/IbXE4OKlDVQ9iJ2+/DRw+zJ8PGwbce6/ZeESSk4FLl3iMRy03xJANGzgfoX79v34hMpKVD3/1\nRM6RgzM/T5+2/vo6dVhlO2OG9XqqVNpHSwpFRnJvqTyQOAlx+HZolSZkSdAJ+esT3Mf/1m6dw6Fd\nhiFt2gBLlvBH+fKu6zVrsjhq5Ur+3FlkJAunbNOOwFMcDqBbN+6sGzQwHY0IffMN28AUKMC+n0o+\niGnDhvG9MlUqts169VXTEYmQwwHs2MHJSCJesH8/0LIlkC0bB2xZrZcowUG3hw799Yvbtv2z4Y6P\nZ5I2Rw7dBolB/7omxe957J1ESVpfSkpiNkWfBEHF1klahwN47TV2t3/zTdPRBJwePdjed8wY4OGH\nXdebNAHmzgV+/JHHppydOsWjWOnTez9WW5k1i38gmTMDERE8cSBi2tWrPBfZoQP7f4qYNGMGhyg6\nHNeHKoqIBIizZ/kWl5TEYgVn584BuXMzSXvxout6YiK3kAUL6pmqiPiEkrR+x+EA3niDN3nffed+\n1KMEHFsnadetA6pV45n5PXvY5FRu2eDBTLB+8MG/jlP9S7t2bH01Zoz19NaICG4c8+QJwGrYlHA4\n2Ku7alWgcWPT0YiI2MuyZfzQSUjgaPFevUxHJCJyW65cAdq3By5cAFascF2PjeXgrtBQ4No11xPh\nDgdnJYaHAzlz+iRkEZGbUZLW7xw8yCM/SUlMjFWoYDoi8RFbJ2kBYMoUTo5q2tR0JLYzfjyLlTp1\nsv7j6dKFJ0yHDLEuRN6/n/fQ4eHcaIqIiKTIzJnA888DMTFA164cOKITWmJSRASb5CtTJv+SnMz9\n85EjnGfoPIvY4eDtx7VrbGGcJYvrayxbxg5DRYveZjHDmTPcgBcokJL/BBHPiYpiebj6xgcyJWn9\n0oYN7E7+5JOmIxEfsn2SNojNnQtMncoEbMuWruv9+gEffgi89x4wYIDr+t69wJ9/AqVL60S+iIh4\n2apVnGaTnMwPrpkzdQxDzDp7FqhenRm4pUuVFAsy773Hg3jjxzNP7yx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s+dYwRTFtxgyg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cqxGlbkFvlpJa2IKQ4H8NRTTDpcusTeyHfo+PHjeOONN5AxY0bExMT8k4QVuW2pUwPNmwOnTrG/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      "text/plain": [
       "<matplotlib.figure.Figure at 0x1124ab6a0>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 470,
       "width": 692
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sl.hide_code_in_slideshow()\n",
    "ax = ut.plotSetup(-1,6,-1,6,size=(12,8))\n",
    "ut.centerAxes(ax)\n",
    "v1 = np.array([5.0,1.0])\n",
    "v1 = v1 / np.sqrt(np.sum(v1*v1))\n",
    "v2 = np.array([3.0,5.0])\n",
    "v2 = v2 / np.sqrt(np.sum(v2*v2))\n",
    "#ut.plotVec(ax,v1,'b')\n",
    "#ut.plotVec(ax,v2)\n",
    "ut.plotLinEqn(-v1[1],v1[0],0,color='b')\n",
    "ut.plotLinEqn(-v2[1],v2[0],0,color='r')\n",
    "for i in range(-4,8):\n",
    "    ut.plotLinEqn(-v1[1],v1[0],i*(v1[0]*v2[1]-v1[1]*v2[0]),format=':',color='b')\n",
    "    ut.plotLinEqn(-v2[1],v2[0],i*(v2[0]*v1[1]-v2[1]*v1[0]),format=':',color='r')\n",
    "p1 = 2*v1+v2\n",
    "p2 = 4*v1+3*v2\n",
    "ut.plotVec(ax, p1,'k')\n",
    "ut.plotVec(ax, p2,'k')\n",
    "ax.annotate('', xy=(p2[0], p2[1]),  xycoords='data',\n",
    "                xytext=(p1[0], p1[1]), textcoords='data',\n",
    "                size=15,\n",
    "                #bbox=dict(boxstyle=\"round\", fc=\"0.8\"),\n",
    "                arrowprops={'arrowstyle': 'simple',\n",
    "                                'fc': '0.7', \n",
    "                                'ec': 'none',\n",
    "                                'connectionstyle' : 'arc3,rad=-0.3'},\n",
    "                )\n",
    "ax.text(2.5,0.75,r'${\\bf x}$',size=20)\n",
    "ax.text(5.2,2.75,r'$A{\\bf x}$',size=20)\n",
    "ax.plot(0,0,'')\n",
    "print('')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "So the coordinates of $A\\vx$ in the basis $\\mathcal{B}$ are $\\mat{{r}4\\\\3}_\\mathcal{B}.$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "Now we convert back to the standard basis -- that is, we ask which point has coordinates (4,3) in basis $\\mathcal{B}.$\n",
    "\n",
    "We rely on the definition $[\\vv]_\\mathcal{B} = P\\vv.$\n",
    "\n",
    "So $A\\vx = P\\mat{{r}4\\\\3} = PDP^{-1}\\vx.$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div id=\"9dea8801ededafba\"></div>\n",
       "    <script type=\"text/javascript\">\n",
       "        $(function(){\n",
       "            var p = $(\"#9dea8801ededafba\");\n",
       "            if (p.length==0) return;\n",
       "\n",
       "            while (!p.hasClass(\"cell\")) {\n",
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       "                if (p.prop(\"tagName\") ==\"body\") return;\n",
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       "            var cell = p;\n",
       "            cell.find(\".input\").addClass(\"hide-in-slideshow\")\n",
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     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    },
    {
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37r3fa1hJS3fnXXW6K/c+3ZV7n+7M/U935d6nu7KSFjrJypUrkyST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\nAACAQiItAAAAAEAhkRYAAAAAoJBICwA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      "text/plain": [
       "<matplotlib.figure.Figure at 0x11277a978>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 470,
       "width": 692
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sl.hide_code_in_slideshow()\n",
    "ax = ut.plotSetup(-1,6,-1,6,size=(12,8))\n",
    "ut.centerAxes(ax)\n",
    "v1 = np.array([5.0,1.0])\n",
    "v1 = v1 / np.sqrt(np.sum(v1*v1))\n",
    "v2 = np.array([3.0,5.0])\n",
    "v2 = v2 / np.sqrt(np.sum(v2*v2))\n",
    "#ut.plotVec(ax,v1,'b')\n",
    "#ut.plotVec(ax,v2)\n",
    "#ut.plotLinEqn(-v1[1],v1[0],0,color='b')\n",
    "#ut.plotLinEqn(-v2[1],v2[0],0,color='r')\n",
    "#for i in range(-3,8):\n",
    "#    ut.plotLinEqn(-v1[1],v1[0],i*(v1[0]*v2[1]-v1[1]*v2[0]),format=':',color='b')\n",
    "#    ut.plotLinEqn(-v2[1],v2[0],i*(v2[0]*v1[1]-v2[1]*v1[0]),format=':',color='r')\n",
    "p1 = 2*v1+v2\n",
    "p2 = 4*v1+3*v2\n",
    "#ut.plotVec(ax, p1,'k')\n",
    "ut.plotVec(ax, p2,'k')\n",
    "#ax.annotate('', xy=(p2[0], p2[1]),  xycoords='data',\n",
    "#                xytext=(p1[0], p1[1]), textcoords='data',\n",
    "#                size=15,\n",
    "#                #bbox=dict(boxstyle=\"round\", fc=\"0.8\"),\n",
    "#                arrowprops={'arrowstyle': 'simple',\n",
    "#                                'fc': '0.7', \n",
    "#                                'ec': 'none',\n",
    "#                                'connectionstyle' : 'arc3,rad=-0.3'},\n",
    "#                )\n",
    "#ax.text(2.5,0.75,r'${\\bf x}$',size=16)\n",
    "ax.text(5.2,2.75,r'$A{\\bf x}$',size=20)\n",
    "ax.plot(0,0,'')\n",
    "print('')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We find that $A\\vx$ = $PDP^{-1}\\vx = \\mat{{r}5.46\\\\3.35}.$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "In conclusion: notice that the transformation $\\vx \\mapsto A\\vx$ may be a complicated one in which each component of $\\vx$ affects each component of $A\\vx$.   \n",
    "\n",
    "However, by changing to the basis defined by the eigenspaces of $A$, the action of $A$ becomes simple to understand. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Diagonalization of $A$ __changes to a basis in which the action of $A$ is particularly easy to understand and compute with.__"
   ]
  }
 ],
 "metadata": {
  "celltoolbar": "Slideshow",
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
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