{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "hide_input": true, "internals": {}, "slideshow": { "slide_type": "skip" }, "tags": [ "remove-cell" ] }, "outputs": [], "source": [ "# for QR codes use inline\n", "%matplotlib inline\n", "qr_setting = 'url'\n", "#\n", "# for lecture use notebook\n", "# %matplotlib notebook\n", "# qr_setting = None\n", "#\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", "from importlib import reload\n", "from datetime import datetime\n", "\n", "import array_to_latex as a2l\n", "\n", "def ltx_array_fmt(x, fmt):\n", " '''converts a numpy array to a latex array'''\n", " return a2l.to_ltx(x, frmt = fmt, row = False, print_out = False)\n", "\n", "def int_fmt(x):\n", " return ltx_array_fmt(x, '{:d}')\n", "\n", "def float_fmt(x):\n", " return ltx_array_fmt(x, '{:f}')\n", "\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;" ] }, { "cell_type": "markdown", "metadata": { "hide_input": true, "internals": { "slide_type": "subslide" }, "slideshow": { "slide_type": "slide" } }, "source": [ "# The Matrix of a Linear Transformation" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "hide_input": true, "slideshow": { "slide_type": "-" }, "tags": [ "remove-cell" ] }, "outputs": [ { "data": { "image/jpeg": 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"text/plain": [ "" ] }, "metadata": { "image/jpeg": { "width": 350 } }, "output_type": "display_data" } ], "source": [ "# image credit: https://imgflip.com/memetemplate/The-Most-Interesting-Man-In-The-World\n", "display(Image(\"images/Dos-Equis-Linear-Transform.jpg\", width=350))" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "In the last lecture we introduced the idea of a __linear transformation__:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "hide_input": true, "tags": [ "remove-input" ] }, "outputs": [ { "data": { "image/jpeg": 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"text/plain": [ "" ] }, "metadata": { "image/jpeg": { "width": 650 } }, "output_type": "display_data" } ], "source": [ "# image credit: Lay, 4th edition\n", "display(Image(\"images/L7 F4.jpg\", width=650))" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "We have seen that every matrix multiplication is a linear transformation from vectors to vectors." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "But, are there any other possible linear transformations from vectors to vectors?" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "No. \n", "\n", "In other words, the reverse statement is also true: \n", "\n", "> every linear transformation from vectors to vectors is a matrix multiplication. " ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "We'll now prove this fact. \n", "\n", "We'll do it __constructively__, meaning we'll actually show how to find the matrix corresponding to any given linear transformation $T$." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "__Theorem.__ Let $T: \\mathbb{R}^n \\rightarrow \\mathbb{R}^m$ be a linear transformation. Then there is (always) a unique matrix $A$ such that:\n", "\n", "$$ T({\\bf x}) = A{\\bf x} \\;\\;\\; \\mbox{for all}\\; {\\bf x} \\in \\mathbb{R}^n.$$" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 30 }, "slideshow": { "slide_type": "fragment" } }, "source": [ "In fact, $A$ is the $m \\times n$ matrix whose $j$th column is the vector $T({\\bf e_j})$, where ${\\bf e_j}$ is the $j$th column of the identity matrix in $\\mathbb{R}^n$:\n", "\n", "$$A = \\left[T({\\bf e_1}) \\dots T({\\bf e_n})\\right].$$\n", "\n", "$A$ is called the _standard matrix_ of $T$." ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 31 }, "slideshow": { "slide_type": "fragment" } }, "source": [ "__Proof.__ Write \n", "\n", "$${\\bf x} = I{\\bf x} = \\left[{\\bf e_1} \\dots {\\bf e_n}\\right]\\bf x$$" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 32 }, "slideshow": { "slide_type": "fragment" } }, "source": [ "$$ = x_1{\\bf e_1} + \\dots + x_n{\\bf e_n}.$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "In other words, for any $\\mathbf{x}$, we can always expand it as:\n", " \n", "$$ \\mathbf{x} \n", "\\;= \\;\\;\\;\\;\\;\n", "\\begin{bmatrix}\n", "1 & 0 & \\dots & 0 \\\\\n", "0 & 1 & \\dots & 0\\\\\n", "\\vdots & \\vdots & \\ddots & \\vdots\\\\\n", "0 & 0 & \\dots & 1 \n", "\\end{bmatrix} \\; \\begin{bmatrix}x_1\\\\x_2\\\\ \\vdots \\\\ x_n\\end{bmatrix} \n", "\\;\\;\\;\\;\\;= \\;\\;\\;\\;\\;\n", "\\begin{bmatrix} x_1 \\\\ 0 \\\\ \\vdots \\\\ 0 \\end{bmatrix} +\n", "\\begin{bmatrix} 0 \\\\ x_2 \\\\ \\vdots \\\\ 0 \\end{bmatrix} +\n", "\\dots +\n", "\\begin{bmatrix} 0 \\\\ 0 \\\\ \\vdots \\\\ x_n \\end{bmatrix} $$" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 33 }, "slideshow": { "slide_type": "fragment" } }, "source": [ "Because $T$ is linear, we have:\n", "\n", "$$ T({\\bf x}) = T(x_1{\\bf e_1} + \\dots + x_n{\\bf e_n})$$" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 34 }, "slideshow": { "slide_type": "fragment" } }, "source": [ "$$ = x_1T({\\bf e_1}) + \\dots + x_nT({\\bf e_n})$$" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 35 }, "slideshow": { "slide_type": "fragment" } }, "source": [ "$$ = \\left[T({\\bf e_1}) \\dots T({\\bf e_n})\\right] \\, \\left[\\begin{array}{r}x_1\\\\\\vdots\\\\x_n\\end{array}\\right] = A{\\bf x}.$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "So ... we see that the ideas of __matrix multiplication__ and __linear transformation__ are essentially equivalent when applied to vectors.\n", "\n", "Every matrix multiplication is a linear transformation, and every linear transformation from vectors to vectors is a matrix multiplication.\n", "\n", "__However__, term _linear transformation_ focuses on a __property__ of the mapping, while the term _matrix multiplication_ focuses on how such a mapping is __implemented.__" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 36 }, "slideshow": { "slide_type": "slide" } }, "source": [ "This proof shows us an important idea:\n", "\n", " To find the standard matrix of a linear transformation, ask what the transformation does to the columns of $I$.\n", "\n", "In other words, if $ T(\\mathbf{x}) = A\\mathbf{x} $, then:\n", "\n", "$$A = \\left[T({\\bf e_1}) \\dots T({\\bf e_n})\\right].$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This gives us a way to compute the standard matrix of a transformation." ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 36 }, "slideshow": { "slide_type": "slide" } }, "source": [ "Now, in $\\mathbb{R}^2$, $I = \\left[\\begin{array}{cc}1&0\\\\0&1\\end{array}\\right]$. So:\n", "\n", "$$\\mathbf{e_1} = \\left[\\begin{array}{c}1\\\\0\\end{array}\\right]\\;\\;\\mbox{and}\\;\\;\\mathbf{e_2} = \\left[\\begin{array}{c}0\\\\1\\end{array}\\right].$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "So to find the matrix of any given linear transformation of vectors in $\\mathbb{R}^2$, we only have to know what that transformation does to these two points:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "hide_input": true, "internals": { "frag_helper": "fragment_end", "frag_number": 37, "slide_helper": "subslide_end" }, "slide_helper": "slide_end", "slideshow": { "slide_type": "fragment" }, "tags": [ "remove-input" ] }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": { "image/png": { "height": 495, "width": 496 } }, "output_type": "display_data" } ], "source": [ "ax = dm.plotSetup(-3,3,-3,3,size=(6,6))\n", "ax.plot([0],[1],'ro',markersize=8)\n", "ax.text(0.25,1,'(0,1)',size=20)\n", "ax.plot([1],[0],'ro',markersize=8)\n", "ax.text(1.25,0.25,'(1,0)',size=20);" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 37, "slide_type": "subslide" }, "slideshow": { "slide_type": "slide" } }, "source": [ "This is a __hugely__ powerful tool. \n", "\n", "Let's say we start from some given linear transformation; we can use this idea to find the matrix that implements that linear transformation. " ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "For example, let's consider rotation about the origin as a kind of transformation." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "hide_input": true, "tags": [ "remove-input" ] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 495, "width": 496 } }, "output_type": "display_data" } ], "source": [ "u = np.array([1.5, 0.75])\n", "v = np.array([0.25, 1])\n", "diamond = np.array([[0,0], u, u+v, v]).T\n", "ax = dm.plotSetup()\n", "plt.plot(u[0], u[1], 'go')\n", "plt.plot(v[0], v[1], 'yo')\n", "ax.text(u[0]+.25,u[1],r'$\\bf{u}$',size=20)\n", "ax.text(v[0],v[1]-.35,r'$\\bf{v}$',size=20)\n", "rotation = np.array([[0, -1],[1, 0]])\n", "up = rotation @ u\n", "vp = rotation @ v\n", "plt.plot(up[0], up[1], 'go')\n", "plt.plot(vp[0], vp[1], 'yo')\n", "ax.text(up[0]-1,up[1],r'$T(\\mathbf{u})$',size=20)\n", "ax.text(vp[0]-.9,vp[1]+.15,r'$T(\\mathbf{v})$',size=20)\n", "ax.text(0.75, 1.75, r'$\\theta$', size = 20)\n", "ax.text(-.5, 0.25, r'$\\theta$', size = 20)\n", "ax.annotate(\"\",\n", " xy=((up)[0]+.1, (up)[1]+.1), xycoords='data',\n", " xytext=((u)[0]-.1, (u)[1]+.1), textcoords='data',\n", " size=20, va=\"center\", ha=\"center\",\n", " arrowprops=dict(arrowstyle=\"simple\",\n", " connectionstyle=\"arc3,rad=0.3\"),\n", " )\n", "ax.annotate(\"\",\n", " xy=((vp)[0]+.1, (vp)[1]+.1), xycoords='data',\n", " xytext=((v)[0]-.1, (v)[1]), textcoords='data',\n", " size=20, va=\"center\", ha=\"center\",\n", " arrowprops=dict(arrowstyle=\"simple\",\n", " connectionstyle=\"arc3,rad=0.3\"),\n", " );" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "First things first: Is rotation a __linear__ transformation?" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "Recall that a for a transformation to be linear, it must be true that $T(\\mathbf{u} + \\mathbf{v}) = T(\\mathbf{u}) + T(\\mathbf{v}).$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "I'm going to show you a \"geometric proof.\"\n", "\n", "This figure shows that \"the rotation of $\\mathbf{u+v}$ is the sum of the rotation of $\\mathbf{u}$ and the rotation of $\\mathbf{v}$\"." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "hide_input": true, "slideshow": { "slide_type": "fragment" }, "tags": [ "remove-input" ] }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 495, "width": 496 } }, "output_type": "display_data" } ], "source": [ "u = np.array([1.5, 0.75])\n", "v = np.array([0.25, 1])\n", "diamond = np.array([[0,0], u, u+v, v]).T\n", "ax = dm.plotSetup()\n", "dm.plotSquare(diamond)\n", "ax.text(u[0]+.25,u[1],r'$\\bf{u}$',size=20)\n", "ax.text(v[0],v[1]+.25,r'$\\bf{v}$',size=20)\n", "ax.text(u[0]+v[0]+.25,u[1]+v[1],r'$\\bf{u + v}$',size=20)\n", "rotation = np.array([[0, -1],[1, 0]])\n", "up = rotation @ u\n", "vp = rotation @ v\n", "diamond = np.array([[0,0], up, up+vp, vp]).T\n", "dm.plotSquare(diamond)\n", "ax.text(0.75, 2.4, r'$\\theta$', size = 20)\n", "ax.annotate(\"\",\n", " xy=((up+vp)[0]+.1, (up+vp)[1]+.1), xycoords='data',\n", " xytext=((u+v)[0]-.1, (u+v)[1]+.1), textcoords='data',\n", " size=20, va=\"center\", ha=\"center\",\n", " arrowprops=dict(arrowstyle=\"simple\",\n", " connectionstyle=\"arc3,rad=0.3\"),\n", " );" ] }, { "cell_type": "markdown", "metadata": { "hide_input": false, "internals": { "frag_helper": "fragment_end", "frag_number": 39 }, "slideshow": { "slide_type": "fragment" } }, "source": [ "OK, so rotation is a linear transformation. \n", "\n", "Let's see how to __compute__ the linear transformation that is a rotation." ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 40 }, "slideshow": { "slide_type": "fragment" } }, "source": [ "__Specifically:__ Let $T: \\mathbb{R}^2 \\rightarrow \\mathbb{R}^2$ be the transformation that rotates each point in $\\mathbb{R}^2$ about the origin through an angle $\\theta$, with counterclockwise rotation for a positive angle. \n", "\n", "Let's find the standard matrix $A$ of this transformation." ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 41 }, "slideshow": { "slide_type": "fragment" } }, "source": [ "__Solution.__ The columns of $I$ are ${\\bf e_1} = \\left[\\begin{array}{r}1\\\\0\\end{array}\\right]$ and ${\\bf e_2} = \\left[\\begin{array}{r}0\\\\1\\end{array}\\right].$" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 42 }, "slideshow": { "slide_type": "fragment" } }, "source": [ "Referring to the diagram below, we can see that $\\left[\\begin{array}{r}1\\\\0\\end{array}\\right]$ rotates into $\\left[\\begin{array}{r}\\cos\\theta\\\\\\sin\\theta\\end{array}\\right],$ and $\\left[\\begin{array}{r}0\\\\1\\end{array}\\right]$ rotates into $\\left[\\begin{array}{r}-\\sin\\theta\\\\\\cos\\theta\\end{array}\\right].$" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "hide_input": true, "tags": [ "remove-input" ] }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 354, "width": 686 } }, "output_type": "display_data" } ], "source": [ "import matplotlib.patches as patches\n", "ax = dm.plotSetup(-1.2, 1.2, -0.5, 1.2)\n", "# red circle portion\n", "arc = patches.Arc([0., 0.], 2., 2., angle = 0., theta1 = 340., \n", " theta2 = 200.,\n", " linewidth = 2, color = 'r',\n", " linestyle = '-.')\n", "ax.add_patch(arc)\n", "#\n", "# labels\n", "ax.text(1.1, 0.1, r'$\\mathbf{e}_1 = (1, 0)$', size = 20)\n", "ax.text(0.1, 1.1, r'$\\mathbf{e}_2 = (0, 1)$', size = 20)\n", "#\n", "# angle of rotation and rotated points\n", "theta = np.pi / 6\n", "e1t = [np.cos(theta), np.sin(theta)]\n", "e2t = [-np.sin(theta), np.cos(theta)]\n", "#\n", "# theta labels\n", "ax.text(0.5, 0.08, r'$\\theta$', size = 20)\n", "ax.text(-0.25, 0.5, r'$\\theta$', size = 20)\n", "#\n", "# arrows from origin\n", "ax.arrow(0, 0, e1t[0], e1t[1],\n", " length_includes_head = True,\n", " width = .02)\n", "ax.arrow(0, 0, e2t[0], e2t[1],\n", " length_includes_head = True,\n", " width = .02)\n", "#\n", "# new point labels\n", "ax.text(e1t[0]+.05, e1t[1]+.05, r'$[\\cos\\; \\theta, \\sin \\;\\theta]$', size = 20)\n", "ax.text(e2t[0]-1.1, e2t[1]+.05, r'$[-\\sin\\; \\theta, \\cos \\;\\theta]$', size = 20)\n", "#\n", "# curved arrows showing rotation\n", "ax.annotate(\"\",\n", " xytext=(0.7, 0), xycoords='data',\n", " xy=(0.7*e1t[0], 0.7*e1t[1]), textcoords='data',\n", " size=10, va=\"center\", ha=\"center\",\n", " arrowprops=dict(arrowstyle=\"simple\",\n", " connectionstyle=\"arc3,rad=0.3\"),\n", " )\n", "ax.annotate(\"\",\n", " xytext=(0, 0.7), xycoords='data',\n", " xy=(0.7*e2t[0], 0.7*e2t[1]), textcoords='data',\n", " size=10, va=\"center\", ha=\"center\",\n", " arrowprops=dict(arrowstyle=\"simple\",\n", " connectionstyle=\"arc3,rad=0.3\"),\n", " )\n", "#\n", "# new points\n", "plt.plot([e1t[0], e2t[0]], [e1t[1], e2t[1]], 'bo', markersize = 10)\n", "plt.plot([0, 1], [1, 0], 'go', markersize = 10);" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 44 }, "slideshow": { "slide_type": "fragment" } }, "source": [ "So by the Theorem above, \n", "\n", "$$ A = \\left[\\begin{array}{rr}\\cos\\theta&-\\sin\\theta\\\\\\sin\\theta&\\cos\\theta\\end{array}\\right].$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "To demonstrate the use of a rotation matrix, let's rotate the following shape:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 45, "slide_helper": "subslide_end" }, "slide_helper": "slide_end", "slideshow": { "slide_type": "-" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": { "image/png": { "height": 495, "width": 496 } }, "output_type": "display_data" } ], "source": [ "dm.plotSetup()\n", "note = dm.mnote()\n", "dm.plotShape(note)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "The variable `note` is a array of 26 vectors in $\\mathbb{R}^2$ that define its shape. \n", "\n", "In other words, it is a 2 $\\times$ 26 matrix." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "To rotate `note` we need to multiply each column of `note` by the rotation matrix $A$.\n", "\n", "In Python this can be performed using the `@` operator. \n", "\n", "That is, if `A` and `B` are matrices,\n", "\n", "`A @ B`\n", "\n", "will multiply `A` by every column of `B,` and the resulting vectors will be formed\n", "into a matrix." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 45, "slide_helper": "subslide_end" }, "slide_helper": "slide_end", "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": { "image/png": { "height": 495, "width": 496 } }, "output_type": "display_data" } ], "source": [ "dm.plotSetup()\n", "angle = 90\n", "theta = (angle/180) * np.pi\n", "A = np.array(\n", " [[np.cos(theta), -np.sin(theta)],\n", " [np.sin(theta), np.cos(theta)]])\n", "rnote = A @ note\n", "dm.plotShape(rnote)" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 45, "slide_type": "subslide" }, "slideshow": { "slide_type": "slide" } }, "source": [ "## Geometric Linear Transformations of $\\mathbb{R}^2$" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 45 }, "slideshow": { "slide_type": "-" } }, "source": [ "Let's use our understanding of how to construct linear transformations to look at some specific linear transformations of $\\mathbb{R}^2$ to $\\mathbb{R}^2$." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "First, let's recall the linear transformation \n", "\n", "$$T(\\mathbf{x}) = r\\mathbf{x}.$$\n", "\n", "With $r > 1$, this is a dilation. It moves every vector further from the origin. " ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 49 }, "slideshow": { "slide_type": "fragment" } }, "source": [ "Let's say the dilation is by a factor of 2.5.\n", "\n", "To construct the matrix $A$ that implements this transformation, we ask: where do ${\\bf e_1}$ and ${\\bf e_2}$ go?" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "hide_input": true, "internals": { "frag_helper": "fragment_end", "frag_number": 50 }, "slideshow": { "slide_type": "fragment" }, "tags": [ "remove-input" ] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 495, "width": 496 } }, "output_type": "display_data" } ], "source": [ "ax = dm.plotSetup()\n", "ax.plot([0],[1],'ro',markersize=8)\n", "ax.text(0.25,1,'(0,1)',size=20)\n", "ax.plot([1],[0],'ro',markersize=8)\n", "ax.text(1.25,0.25,'(1,0)',size=20);" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "Under the action of $A$, $\\mathbf{e_1}$ goes to $\\left[\\begin{array}{c}2.5\\\\0\\end{array}\\right]$ and $\\mathbf{e_2}$ goes to $\\left[\\begin{array}{c}0\\\\2.5\\end{array}\\right]$." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "So the matrix $A$ must be $\\left[\\begin{array}{cc}2.5&0\\\\0&2.5\\end{array}\\right]$." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "Let's test this out:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "hide_input": false, "internals": { "frag_helper": "fragment_end", "frag_number": 51 }, "slideshow": { "slide_type": "-" } }, "outputs": [ { "data": { "text/latex": [ "$A = \\begin{bmatrix}\n", " 2.5 & 0.0\\\\\n", " 0.0 & 2.5\n", "\\end{bmatrix}$" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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", 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" ] }, "metadata": { "image/png": { "height": 495, "width": 496 } }, "output_type": "display_data" } ], "source": [ "square = np.array(\n", " [[0,1,1,0],\n", " [1,1,0,0]])\n", "A = np.array(\n", " [[2.5, 0],\n", " [0, 2.5]])\n", "display(Latex(rf\"$A = {ltx_array_fmt(A, '{:1.1f}')}$\"))\n", "dm.plotSetup()\n", "dm.plotSquare(square)\n", "dm.plotSquare(A @ square,'r')" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 482, "width": 481 } }, "output_type": "display_data" } ], "source": [ "dm.plotSetup(-7,7,-7, 7)\n", "dm.plotShape(note)\n", "dm.plotShape(A @ note,'r')" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 45, "slide_helper": "subslide_end", "slide_type": "subslide" }, "slide_helper": "slide_end", "slideshow": { "slide_type": "slide" }, "tags": [ "remove-cell" ] }, "source": [ "``` {toggle}\n", "Question Time! Q8.1\n", "```" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 51 }, "slideshow": { "slide_type": "skip" } }, "source": [ "OK, now let's reflect through the $x_1$ axis. Where do ${\\bf e_1}$ and ${\\bf e_2}$ go?" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "hide_input": true, "internals": { "frag_helper": "fragment_end", "frag_number": 51 }, "slideshow": { "slide_type": "fragment" }, "tags": [ "remove-input" ] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 495, "width": 496 } }, "output_type": "display_data" } ], "source": [ "ax = dm.plotSetup()\n", "ax.plot([0],[1],'ro',markersize=8)\n", "ax.text(0.25,1,'(0,1)',size=20)\n", "ax.plot([1],[0],'ro',markersize=8)\n", "ax.text(1.25,0.25,'(1,0)',size=20);" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 54 }, "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "text/latex": [ "$A = \\begin{bmatrix}\n", " 1 & 0 \\\\\n", " 0 & -1 \n", "\\end{bmatrix}$" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 520, "width": 496 } }, "output_type": "display_data" } ], "source": [ "A = np.array(\n", " [[1, 0],\n", " [0, -1]])\n", "display(Latex(rf\"$A = {ltx_array_fmt(A, '{:d}')}$\"))\n", "dm.plotSetup()\n", "dm.plotSquare(square)\n", "dm.plotSquare(A @ square,'r')\n", "plt.title(r'Reflection through the $x_1$ axis', size = 20);" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 495, "width": 496 } }, "output_type": "display_data" } ], "source": [ "dm.plotSetup()\n", "dm.plotShape(note)\n", "dm.plotShape(A @ note,'r')" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "What about reflection through the $x_2$ axis?" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 55 }, "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "text/latex": [ "$A = \\begin{bmatrix}\n", " -1 & 0 \\\\\n", " 0 & 1 \n", "\\end{bmatrix}$" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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", 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" ] }, "metadata": { "image/png": { "height": 520, "width": 496 } }, "output_type": "display_data" } ], "source": [ "A = np.array(\n", " [[-1,0],\n", " [0, 1]])\n", "display(Latex(rf\"$A = {ltx_array_fmt(A, '{:2d}')}$\"))\n", "dm.plotSetup()\n", "dm.plotSquare(square)\n", "dm.plotSquare(A @ square,'r')\n", "plt.title(r'Reflection through the $x_2$ axis', size = 20);" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 495, "width": 496 } }, "output_type": "display_data" } ], "source": [ "dm.plotSetup()\n", "dm.plotShape(note)\n", "dm.plotShape(A @ note,'r')" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "What about reflection through the line $x_1 = x_2$?" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "hide_input": true, "internals": { "frag_helper": "fragment_end", "frag_number": 56 }, "slideshow": { "slide_type": "fragment" }, "tags": [ "remove-input" ] }, "outputs": [ { "data": { "text/latex": [ "$A = \\begin{bmatrix}\n", " 0 & 1 \\\\\n", " 1 & 0 \n", "\\end{bmatrix}$" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 520, "width": 497 } }, "output_type": "display_data" } ], "source": [ "A = np.array(\n", " [[0,1],\n", " [1,0]])\n", "display(Latex(rf\"$A = {ltx_array_fmt(A, '{:d}')}$\"))\n", "dm.plotSetup()\n", "dm.plotSquare(square)\n", "dm.plotSquare(A @ square,'r')\n", "plt.plot([-2,2],[-2,2],'b--')\n", "plt.title(r'Reflection through the line $x_1 = x_2$', size = 20);" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "hide_input": true, "tags": [ "remove-input" ] }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": { "image/png": { "height": 495, "width": 496 } }, "output_type": "display_data" } ], "source": [ "dm.plotSetup()\n", "dm.plotShape(note)\n", "dm.plotShape(A @ note,'r')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "What about reflection through the line $x_1 = -x_2$?" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "hide_input": true, "internals": { "frag_helper": "fragment_end", "frag_number": 57 }, "slideshow": { "slide_type": "fragment" }, "tags": [ "remove-input" ] }, "outputs": [ { "data": { "text/latex": [ "$A = \\begin{bmatrix}\n", " 0 & -1 \\\\\n", " -1 & 0 \n", "\\end{bmatrix}$" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 520, "width": 525 } }, "output_type": "display_data" } ], "source": [ "A = np.array(\n", " [[ 0,-1],\n", " [-1, 0]])\n", "display(Latex(rf\"$A = {ltx_array_fmt(A, '{:d}')}$\"))\n", "dm.plotSetup()\n", "dm.plotSquare(square)\n", "dm.plotSquare(A @ square,'r')\n", "plt.plot([-2,2],[2,-2],'b--')\n", "plt.title(r'Reflection through the line $x_1 = -x_2$', size = 20);" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "hide_input": true, "tags": [ "remove-input" ] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 495, "width": 496 } }, "output_type": "display_data" } ], "source": [ "dm.plotSetup()\n", "dm.plotShape(note)\n", "dm.plotShape(A @ note,'r')" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "What about reflection through the origin?" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "hide_input": true, "internals": { "frag_helper": "fragment_end", "frag_number": 58 }, "slideshow": { "slide_type": "fragment" }, "tags": [ "remove-input" ] }, "outputs": [ { "data": { "text/latex": [ "$A = \\begin{bmatrix}\n", " -1 & 0 \\\\\n", " 0 & -1 \n", "\\end{bmatrix}$" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 519, "width": 496 } }, "output_type": "display_data" } ], "source": [ "A = np.array(\n", " [[-1, 0],\n", " [ 0,-1]])\n", "display(Latex(rf\"$A = {ltx_array_fmt(A, '{:d}')}$\"))\n", "ax = dm.plotSetup()\n", "dm.plotSquare(square)\n", "dm.plotSquare(A @ square,'r')\n", "plt.title(r'Reflection through the origin', size = 20);" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "hide_input": true, "tags": [ "remove-input" ] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 495, "width": 496 } }, "output_type": "display_data" } ], "source": [ "dm.plotSetup()\n", "dm.plotShape(note)\n", "dm.plotShape(A @ note,'r')" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "hide_input": true, "internals": { "frag_helper": "fragment_end", "frag_number": 59 }, "slideshow": { "slide_type": "fragment" }, "tags": [ "remove-input" ] }, "outputs": [ { "data": { "text/latex": [ "$A = \\begin{bmatrix}\n", " 0.45 & 0.00\\\\\n", " 0.00 & 1.00\n", "\\end{bmatrix}$" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 519, "width": 496 } }, "output_type": "display_data" } ], "source": [ "A = np.array(\n", " [[0.45, 0],\n", " [0, 1]])\n", "display(Latex(rf\"$A = {ltx_array_fmt(A, '{:0.2f}')}$\"))\n", "ax = dm.plotSetup()\n", "dm.plotSquare(square)\n", "dm.plotSquare(A @ square,'r')\n", "ax.arrow(1.0,1.5,-1.0,0,head_width=0.15, head_length=0.1, length_includes_head=True)\n", "plt.title(r'Horizontal Contraction', size = 20);" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "hide_input": true, "tags": [ "remove-input" ] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 495, "width": 496 } }, "output_type": "display_data" } ], "source": [ "dm.plotSetup()\n", "dm.plotShape(note)\n", "dm.plotShape(A @ note,'r')" ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "hide_input": true, "internals": { "frag_helper": "fragment_end", "frag_number": 60 }, "slideshow": { "slide_type": "skip" }, "tags": [ "remove-input" ] }, "outputs": [ { "data": { "text/latex": [ "$A = \\begin{bmatrix}\n", " 2.5 & 0.0\\\\\n", " 0.0 & 1.0\n", "\\end{bmatrix}$" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 519, "width": 496 } }, "output_type": "display_data" } ], "source": [ "A = np.array(\n", " [[2.5,0],\n", " [0, 1]])\n", "display(Latex(rf\"$A = {ltx_array_fmt(A, '{:0.1f}')}$\"))\n", "dm.plotSetup()\n", "dm.plotSquare(square)\n", "dm.plotSquare(A @ square,'r')\n", "plt.title(r'Horizontal Expansion', size = 20);" ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "hide_input": true, "internals": { "frag_helper": "fragment_end", "frag_number": 61 }, "slideshow": { "slide_type": "fragment" }, "tags": [ "remove-input" ] }, "outputs": [ { "data": { "text/latex": [ "$A = \\begin{bmatrix}\n", " 1.0 & 0.0\\\\\n", " -1.5 & 1.0\n", "\\end{bmatrix}$" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 519, "width": 496 } }, "output_type": "display_data" } ], "source": [ "A = np.array(\n", " [[ 1, 0],\n", " [-1.5, 1]])\n", "display(Latex(rf\"$A = {ltx_array_fmt(A, '{:0.1f}')}$\"))\n", "dm.plotSetup()\n", "dm.plotSquare(square)\n", "dm.plotSquare(A @ square,'r')\n", "plt.title(r'Vertical Shear', size = 20);" ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "hide_input": true, "tags": [ "remove-input" ] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 495, "width": 496 } }, "output_type": "display_data" } ], "source": [ "dm.plotSetup()\n", "dm.plotShape(note)\n", "dm.plotShape(A @ note,'r')" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" }, "tags": [ "remove-cell" ] }, "source": [ "``` {toggle}\n", "Question 8.2\n", "```" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "Now let's look at a particular kind of transformation called a __projection__.\n", "\n", "Imagine we took any given point and 'dropped' it onto the $x_1$-axis." ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "hide_input": true, "internals": { "frag_helper": "fragment_end", "frag_number": 62 }, "slideshow": { "slide_type": "fragment" }, "tags": [ "remove-input" ] }, "outputs": [ { "data": { "text/latex": [ "$A = \\begin{bmatrix}\n", " 1 & 0 \\\\\n", " 0 & 0 \n", "\\end{bmatrix}$" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 520, "width": 496 } }, "output_type": "display_data" } ], "source": [ "A = np.array(\n", " [[1,0],\n", " [0,0]])\n", "display(Latex(rf\"$A = {ltx_array_fmt(A, '{:d}')}$\"))\n", "ax = dm.plotSetup()\n", "# dm.plotSquare(square)\n", "dm.plotSquare(A @ square,'r')\n", "ax.arrow(1.0,1.0,0,-0.9,head_width=0.15, head_length=0.1, length_includes_head=True)\n", "ax.arrow(0.0,1.0,0,-0.9,head_width=0.15, head_length=0.1, length_includes_head=True)\n", "plt.title(r'Projection onto the $x_1$ axis', size = 20);" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "What happens to the __shape__ of the point set?" ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "hide_input": true, "slideshow": { "slide_type": "-" }, "tags": [ "remove-input" ] }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": { "image/png": { "height": 495, "width": 496 } }, "output_type": "display_data" } ], "source": [ "dm.plotSetup()\n", "dm.plotShape(note)\n", "dm.plotShape(A @ note,'r')" ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "hide_input": true, "internals": { "frag_helper": "fragment_end", "frag_number": 63 }, "slideshow": { "slide_type": "fragment" }, "tags": [ "remove-input" ] }, "outputs": [ { "data": { "text/latex": [ "$A = \\begin{bmatrix}\n", " 0 & 0 \\\\\n", " 0 & 1 \n", "\\end{bmatrix}$" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 520, "width": 496 } }, "output_type": "display_data" } ], "source": [ "A = np.array(\n", " [[0,0],\n", " [0,1]])\n", "display(Latex(rf\"$A = {ltx_array_fmt(A, '{:d}')}$\"))\n", "ax = dm.plotSetup()\n", "# dm.plotSquare(square)\n", "dm.plotSquare(A @ square)\n", "ax.arrow(1.0,1.0,-0.9,0,head_width=0.15, head_length=0.1, length_includes_head=True)\n", "ax.arrow(1.0,0.0,-0.9,0,head_width=0.15, head_length=0.1, length_includes_head=True)\n", "plt.title(r'Projection onto the $x_2$ axis', size = 20);" ] }, { "cell_type": "code", "execution_count": 32, "metadata": { "hide_input": true, "tags": [ "remove-input" ] }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": { "image/png": { "height": 495, "width": 496 } }, "output_type": "display_data" } ], "source": [ "dm.plotSetup()\n", "dm.plotShape(note)\n", "dm.plotShape(A @ note,'r')" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Area is Scaled by the Determinant" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "Notice that in some of the transformations above, the \"size\" of a shape grows or shrinks.\n", "\n", "Let's look at how area (or volume) of a shape is affected by a linear transformation." ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "hide_input": true, "internals": { "frag_helper": "fragment_end", "frag_number": 59 }, "slideshow": { "slide_type": "-" }, "tags": [ "remove-input" ] }, "outputs": [ { "data": { "text/latex": [ "$A = \\begin{bmatrix}\n", " 0.45 & 0.00\\\\\n", " 0.00 & 1.00\n", "\\end{bmatrix}$" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 519, "width": 496 } }, "output_type": "display_data" } ], "source": [ "A = np.array(\n", " [[0.45, 0],\n", " [0, 1]])\n", "display(Latex(rf\"$A = {ltx_array_fmt(A, '{:0.2f}')}$\"))\n", "dm.plotSetup()\n", "dm.plotShape(note)\n", "dm.plotShape(A @ note,'r')\n", "plt.title('Contraction', size = 20);" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "In this transformation, each unit of area in the blue shape is transformed to a smaller region in the red shape.\n", "\n", "So to understand how area changes, it suffices to ask what happens to the unit square (or hypercube):" ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "hide_input": true, "slideshow": { "slide_type": "fragment" }, "tags": [ "remove-input" ] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 496, "width": 496 } }, "output_type": "display_data" } ], "source": [ "A = np.array([[2, 1],[0.75, 1.5]])\n", "ax = dm.plotSetup(-1, 4, -1, 4)\n", "dm.plotSquare(square, 'r')\n", "dm.plotSquare(A @ square);" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "Let's denote the matrix of our linear transformation as:\n", "\n", "$$ A = \\begin{bmatrix} a & b \\\\ c & d \\end{bmatrix} $$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "Then, here is what happens to the unit square:" ] }, { "cell_type": "code", "execution_count": 35, "metadata": { "hide_input": true, "tags": [ "remove-input" ] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 496, "width": 501 } }, "output_type": "display_data" } ], "source": [ "v1 = np.array([2, 0.75])\n", "v2 = np.array([1, 1.5])\n", "A = np.column_stack([v1, v2])\n", "ax = dm.plotSetup(-1, 4, -1, 4)\n", "dm.plotSquare(square, 'r')\n", "dm.plotSquare(A @ square)\n", "plt.text(1.1, 0.1, '(1, 0)', size = 12)\n", "plt.text(1.05, 1.05, '(1, 1)', size = 12)\n", "plt.text(-0.6, 1.2, '(0, 1)', size = 12)\n", "plt.text(v1[0]+0.2, v1[1]+0.1, '(a, c)', size = 12)\n", "plt.text((v1+v2)[0]+0.1, (v1+v2)[1]+0.1, '(a+b, c+d)', size = 12)\n", "plt.text(v2[0]-0.5, v2[1]+0.1, '(b, d)', size = 12);" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "Now, let's determine the area of the blue diamond in terms of $a, b, c$, and $d$." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "To do that, we'll use this diagram:" ] }, { "cell_type": "code", "execution_count": 36, "metadata": { "hide_input": true, "tags": [ "remove-input" ] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 496, "width": 501 } }, "output_type": "display_data" } ], "source": [ "a = 2\n", "b = 1\n", "c = 0.75\n", "d = 1.5\n", "v1 = np.array([a, c])\n", "v2 = np.array([b, d])\n", "A = np.column_stack([v1, v2])\n", "ax = dm.plotSetup(-1, 4, -1, 4)\n", "# red triangles\n", "dm.plotShape(np.array([[0, 0], [0, d], [b, d]]).T, 'r')\n", "plt.text(0.2, 1, r'$\\frac{1}{2}bd$', size = 12)\n", "dm.plotShape(np.array([[a, c], [a+b, c+d], [a+b, c]]).T, 'r')\n", "plt.text(2.5, 1, r'$\\frac{1}{2}bd$', size = 12)\n", "# gray triangles\n", "dm.plotShape(np.array([[b, d], [b, c+d], [a+b, c+d]]).T, 'k')\n", "plt.text(1.2, 1.9, r'$\\frac{1}{2}ac$', size = 12)\n", "dm.plotShape(np.array([[0, 0], [a, c], [a, 0]]).T, 'k')\n", "plt.text(1.2, 0.15, r'$\\frac{1}{2}ac$', size = 12)\n", "# green squares\n", "dm.plotShape(np.array([[a, 0], [a, c], [a+b, c], [a+b, 0]]).T, 'g')\n", "plt.text(0.2, 1.9, r'$bc$', size = 12)\n", "dm.plotShape(np.array([[0, d], [0, c+d], [b, c+d], [b, d]]).T, 'g')\n", "plt.text(2.5, 0.15, r'$bc$', size = 12)\n", "#\n", "dm.plotSquare(A @ square)\n", "plt.text(v1[0]-0.5, v1[1]+0.05, '(a, c)', size = 12)\n", "plt.text((v1+v2)[0]+0.1, (v1+v2)[1]+0.1, '(a+b, c+d)', size = 12)\n", "plt.text(v2[0]+0.1, v2[1]-0.15, '(b, d)', size = 12);" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "Each of the triangles and rectangles has an area we can determine in terms of $a, b, c$ and $d$." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "The large rectangle has sides $(a+b)$ and $(c+d)$, so its area is:\n", "\n", "$$ (a+b)(c+d) = ac + ad + bc + bd. $$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "From this large rectangle we need to subtract:\n", "* $bd$ (red triangles),\n", "* $ac$ (gray triangles), and\n", "* $2bc$ (green rectangles)." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "So the area of the blue diamond is:\n", "\n", "$$ (ac + ad + bc + bd) - (bd + ac + 2bc) $$\n", "\n", "$$ = ad - bc $$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "So we conclude that when we use a linear transformation\n", "\n", "$$ A = \\begin{bmatrix} a & b \\\\ c & d \\end{bmatrix} $$\n", "\n", "the __area of a unit square__ (or any shape) __is scaled by a factor of $ad - bc$.__" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "This quantity is a fundamental property of the matrix $A$.\n", "\n", "So, we give it a name: it is the __determinant__ of $A$.\n", "\n", "We denote it as \n", "\n", "$$\\det(A)$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "So, for a $2\\times 2$ matrix $ A = \\begin{bmatrix} a & b \\\\ c & d \\end{bmatrix} $, \n", "\n", "$$\\det(A) = ad-bc.$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "However, the determinant can be defined for __any__ $n\\times n$ (square) matrix.\n", "\n", "For a square matrix $A$ larger than $2\\times 2$, the determinant tells us how the __volume__ of a unit (hyper)cube is scaled when it is linearly transformed by $A$." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "We will learn how to compute determinants for larger matrices in a later lecture." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "There are important cases in which the determinant of a matrix is __zero.__" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "When does it happen that $\\det(A) = 0$?\n", "\n", "Consider when $A$ is the matrix of a projection:" ] }, { "cell_type": "code", "execution_count": 37, "metadata": { "hide_input": true, "internals": { "frag_helper": "fragment_end", "frag_number": 62 }, "slideshow": { "slide_type": "fragment" }, "tags": [ "remove-input" ] }, "outputs": [ { "data": { "text/latex": [ "$A = \\begin{bmatrix}\n", " 1 & 0 \\\\\n", " 0 & 0 \n", "\\end{bmatrix}$" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 520, "width": 496 } }, "output_type": "display_data" } ], "source": [ "A = np.array(\n", " [[1,0],\n", " [0,0]])\n", "display(Latex(rf'$A = {int_fmt(A)}$'))\n", "ax = dm.plotSetup()\n", "# dm.plotSquare(square)\n", "dm.plotSquare(A @ square,'r')\n", "ax.arrow(1.0,1.0,0,-0.9,head_width=0.15, head_length=0.1, length_includes_head=True)\n", "ax.arrow(0.0,1.0,0,-0.9,head_width=0.15, head_length=0.1, length_includes_head=True)\n", "plt.title(r'Projection onto the $x_1$ axis', size = 20);" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "The unit square has been collapsed onto the $x$-axis, resulting in a shape with area of zero.\n", "\n", "This is confirmed by the determinant, which is \n", "\n", "$$ \\det\\left(\\begin{bmatrix}1 & 0 \\\\ 0 & 0\\end{bmatrix}\\right) = (1 \\cdot 0) - (0 \\cdot 0) = 0.$$" ] }, { "cell_type": "markdown", "metadata": { "hide_input": true, "internals": { "frag_helper": "fragment_end", "frag_number": 63 }, "slideshow": { "slide_type": "slide" } }, "source": [ "## Existence and Uniqueness" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Notice that some of these transformations map multiple inputs to the same output, and some are incapable of generating certain outputs.\n", "\n", "For example, the __projections__ above can send multiple different points to the same point.\n", "\n", "We need some terminology to understand these properties of linear transformations." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "__Definition.__ A mapping $T: \\mathbb{R}^n \\rightarrow \\mathbb{R}^m$ is said to be __onto__ $\\mathbb{R}^m$ if each $\\mathbf{b}$ in $\\mathbb{R}^m$ is the image of _at least one_ $\\mathbf{x}$ in $\\mathbb{R}^n$.\n", "\n", "Informally, $T$ is onto if every element of its codomain is in its range." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "Another (important) way of thinking about this is that $T$ is onto if there is a solution $\\mathbf{x}$ of\n", "\n", "$$T(\\mathbf{x}) = \\mathbf{b}$$\n", "\n", "for all possible $\\mathbf{b}.$\n", "\n", "This is asking an __existence__ question about a solution of the equation $T(\\mathbf{x}) = \\mathbf{b}$ for all $\\mathbf{b}.$" ] }, { "cell_type": "code", "execution_count": 38, "metadata": { "hide_input": true, "slideshow": { "slide_type": "fragment" }, "tags": [ "remove-input" ] }, "outputs": [ { "data": { "image/jpeg": 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"text/plain": [ "" ] }, "metadata": { "image/jpeg": { "width": 650 } }, "output_type": "display_data" } ], "source": [ "display(Image(\"images/L7 F4.jpg\", width=650))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here, we see that $T$ maps points in $\\mathbb{R}^2$ to a plane lying __within__ $\\mathbb{R}^3$. \n", "\n", "That is, the range of $T$ is a strict subset of the codomain of $T$.\n", "\n", "So $T$ is __not onto__ $\\mathbb{R}^3$." ] }, { "cell_type": "code", "execution_count": 39, "metadata": { "hide_input": true, "tags": [ "remove-input" ] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "" ] }, "metadata": { "image/png": { "width": 650 } }, "output_type": "display_data" } ], "source": [ "display(Image(\"images/L8 F3.png\", width=650))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this case, for every point in $\\mathbb{R}^2$, there is an $\\mathbf{x}$ that maps to that point.\n", "\n", "So, the range of $T$ is equal to the codomain of $T$.\n", "\n", "So $T$ is __onto__ $\\mathbb{R}^2$." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "Here is an example of the reflection transformation. The red points are the images of the blue points.\n", "\n", "What about this transformation? Is it onto $\\mathbb{R}^2$?" ] }, { "cell_type": "code", "execution_count": 40, "metadata": { "hide_input": true, "tags": [ "remove-input" ] }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": { "image/png": { "height": 495, "width": 496 } }, "output_type": "display_data" } ], "source": [ "A = np.array(\n", " [[ 0,-1],\n", " [-1, 0]])\n", "dm.plotSetup()\n", "dm.plotShape(note)\n", "dm.plotShape(A @ note,'r')" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "Here is an example of the projection transformation. The red points (which all lie on the $x$-axis) are the images of the blue points.\n", "\n", "What about this transformation? Is it onto $\\mathbb{R}^2$?" ] }, { "cell_type": "code", "execution_count": 41, "metadata": { "hide_input": true, "tags": [ "remove-input" ] }, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": { "image/png": { "height": 495, "width": 496 } }, "output_type": "display_data" } ], "source": [ "A = np.array(\n", " [[1,0],\n", " [0,0]])\n", "dm.plotSetup()\n", "dm.plotShape(note)\n", "dm.plotShape(A @ note,'r')" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" }, "tags": [ "remove-cell" ] }, "source": [ "``` {toggle}\n", "Question Time! Q8.3\n", "```" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "__Definition.__ A mapping $T: \\mathbb{R}^n \\rightarrow \\mathbb{R}^m$ is said to be __one-to-one__ if each $\\mathbf{b}$ in $\\mathbb{R}^m$ is the image of _at most one_ $\\mathbf{x}$ in $\\mathbb{R}^n$." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "If $T$ is one-to-one, then for each $\\mathbf{b},$ the equation $T(\\mathbf{x}) = \\mathbf{b}$ has either a unique solution, or none at all.\n", "\n", "This is asking a __uniqueness__ question about a solution of the equation $T(\\mathbf{x}) = \\mathbf{b}$ for all $\\mathbf{b}$." ] }, { "cell_type": "code", "execution_count": 42, "metadata": { "hide_input": true, "internals": { "frag_helper": "fragment_end", "frag_number": 63, "slide_helper": "subslide_end" }, "slide_helper": "slide_end", "slideshow": { "slide_type": "fragment" }, "tags": [ "remove-input" ] }, 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", "text/plain": [ "" ] }, "metadata": { "image/jpeg": { "width": 650 } }, "output_type": "display_data" } ], "source": [ "# image credit: Lay, 4th edition\n", "display(Image(\"images/Lay-fig-1-9-4.jpeg\", width=650))" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "Let's examine the relationship between these ideas and some previous definitions.\n", "\n", "If for all $\\mathbf{b}$, $A\\mathbf{x} = \\mathbf{b}$ is consistent, is $T(\\mathbf{x}) = A\\mathbf{x}$ onto? one-to-one?" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "* $T(\\mathbf{x})$ is onto. $T(\\mathbf{x})$ may or may not be one-to-one. If the system has multiple solutions for some $\\mathbf{b}$, $T(\\mathbf{x})$ is not one-to-one." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "If for all $\\mathbf{b}$, $A\\mathbf{x} = \\mathbf{b}$ is consistent and has a unique solution, is $T(\\mathbf{x}) = A\\mathbf{x}$ onto? one-to-one?" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "* Yes to both." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "If it is not the case that for all $\\mathbf{b}$, $A\\mathbf{x} = \\mathbf{b}$ is consistent, is $T(\\mathbf{x}) = A\\mathbf{x}$ onto? one-to-one?" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "* $T(\\mathbf{x})$ is __not__ onto. $T(\\mathbf{x})$ may or may not be one-to-one." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "If $T(\\mathbf{x}) = A\\mathbf{x}$ is onto, is $A\\mathbf{x} = \\mathbf{b}$ consistent for all $\\mathbf{b}$? is the solution unique for all $\\mathbf{b}$?" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "* $A\\mathbf{x} = \\mathbf{b}$ is consistent for all $\\mathbf{b}$. The solution may not be unique for any $\\mathbf{b}$. " ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "If $T(\\mathbf{x}) = A\\mathbf{x}$ is one-to-one, is $A\\mathbf{x} = \\mathbf{b}$ consistent for all $\\mathbf{b}$? is the solution unique for all $\\mathbf{b}$?" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "* $A\\mathbf{x} = \\mathbf{b}$ may or may not be consistent for all $\\mathbf{b}$. For any $\\mathbf{b}$, if there is a solution, it is unique." ] } ], "metadata": { "celltoolbar": "Slideshow", "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.9.18" }, "rise": { "scroll": true, "theme": "beige", "transition": "fade" } }, "nbformat": 4, "nbformat_minor": 1 }