{ "cells": [ { "cell_type": "markdown", "metadata": { "toc": "true" }, "source": [ "

Table of Contents

\n", "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "\n", "
\n", "線形代数-写像\n", "
\n", "
\n", "
\n", "file:/Users/bob/Github/TeamNishitani/jupyter_num_calc/lafundamentals\n", "
\n", "https://github.com/daddygongon/jupyter_num_calc/tree/master/notebooks_python\n", "
\n", "cc by Shigeto R. Nishitani 2017-19 \n", "
\n", "\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "# 行列と連立方程式\n", "\n", "\n", "大学の理系で必修なのは微積分と線形代数です.線形代数というと逆行列と固有値の計算がすぐに思い浮かぶでしょう.計算がややこしくてそれだけでいやになります.でも,行列の計算法は一連の手順で記述できるので,pythonでは微積分とおなじように一個のコマンドで片が付きます.それが3x3以上でも同じです.問題はその意味です.ここでは,線形代数の計算がpythonを使えばどれほど簡単にできるかを示すと共に,線形代数の基本となる概念についてスクリプトと描画を使って,直観的に理解することを目的とします.\n", "\n", "先ずは連立方程式から入っていきます.中学の時に\n", "\n", "$$\n", "4x = 2\n", "$$\n", "というのを解きますよね.一般的には\n", "\n", "$$\n", "\\begin {array}{rl}\n", "ax &= b \\\\\n", "x &= b/a\n", "\\end {array}\n", "$$\n", "と書けるというのは皆さんご存知のはず.これと同じようにして連立方程式を書こうというのが逆行列の基本.つまり\n", "\n", "$$\n", "\\begin {array}{rrl}\n", "2x\\, + &5y &=7 \\\\\n", "4x\\, + &y &=5\n", "\\end {array}\n", "$$\n", "という連立方程式は,係数から作られる2x2行列を係数行列$A$,左辺の値で作るベクトルを$b$として,\n", "\n", "$$\n", "\\begin {array}{rll}\n", "Ax &= b & \\\\\n", "x &= b/A &= A^{-1}b\n", "\\end {array}\n", "$$\n", "としたいわけです.\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## python code\n", "\n", "線形代数の問題をpythonで扱うには,scipyに用意されているlinalgパッケージを使うのが現在主流.numpyにある線形代数関数をすべてカバー(包含)しているから.\n", "\n", "まずは行列\n", "$$\n", "\\left[ \\begin {array}{cc} 2&5\\\\ 4&1\\end {array} \\right]\n", "$$\n", "を作ります." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[2 5]\n", " [4 1]]\n" ] } ], "source": [ "import numpy as np\n", "aa = np.array([[2,5], [4,1]])\n", "\n", "print(aa)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "printのimportと呼び出しの仕方は微妙なんで,\n", "上で示した順番を守ってください.\n", "\n", "で,次は$b$ ベクトル\n", "$$\n", "\\left[ \\begin {array}{c} \n", "7\\\\\n", "5\n", "\\end {array} \\right]\n", "$$\n", "です." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[7 5]\n" ] } ], "source": [ "b = np.array([7,5])\n", "print(b)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "連立方程式の解(Solve a linear matrix equation, or system of linear scalar equations)を一発で求める関数は次の通りです." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[1. 1.]\n" ] } ], "source": [ "import scipy.linalg as linalg\n", "print(linalg.solve(aa,b))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "逆行列と$b$ の積から求めるのは次の通りです." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[-0.05555556 0.27777778]\n", " [ 0.22222222 -0.11111111]]\n" ] } ], "source": [ "# 逆行列(matrix inverse)\n", "inv_a = linalg.inv(aa)\n", "print(inv_a)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[1. 1.]\n" ] } ], "source": [ "# 逆行列と,定数項(ordinate)の転置(transpose)との\n", "t_b = np.transpose(b)\n", "print(np.dot(inv_a,t_b))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "pythonのarrayは横ベクトルということに注意してください.\n", "行列に右から掛けるには,転置しておく必要があります." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# 掃き出し\n", "\n", "係数行列$A$とベクトル$b$を足して作られる行列は拡大係数行列と呼ばれます.numpyでは,これは" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[2 5 7]\n", " [4 1 5]]\n" ] } ], "source": [ "ab = np.column_stack((aa,b))\n", "print(ab)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "として作られます.ここから行列の掃き出し操作をおこなうには,luというコマンドを使います." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "P=\n", "[[0. 1.]\n", " [1. 0.]]\n", "L=\n", "[[1. 0. ]\n", " [0.5 1. ]]\n", "U=\n", "[[4. 1. 5. ]\n", " [0. 4.5 4.5]]\n" ] } ], "source": [ "P, L, U = linalg.lu(ab)\n", "print(\"P=\")\n", "print(P)\n", "print(\"L=\")\n", "print(L)\n", "print(\"U=\")\n", "print(U)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "これは,下三角行列(Lower Triangle Matrix)と上三角行列(Upper Triangle Matrix)に分解(decompose)するコマンドです.この操作はLU分解と呼ばれます.$P$行列は置換(permutation)行列を意味します.luの出力は,前進消去が終わっただけの状態です.後退代入(back substitution)して得られる,reduced row echelon form(rref)にする方法は問題があるとして,numpyでは関数を用意してないようです.\n", "\n", "rrefはsympyには用意されています." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Matrix([[2, 5, 7], [4, 1, 5]])\n" ] }, { "data": { "text/plain": [ "(Matrix([\n", " [1, 0, 1],\n", " [0, 1, 1]]),\n", " (0, 1))" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from sympy import Matrix\n", "\n", "Aex = Matrix([[2,5,7],[4,1,5]])\n", "print(Aex)\n", "Aex.rref()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# 写像\n", "\n", "## 一点からの写像\n", "\n", "次に,先ほどの行列による点の移動\n", "$$\n", "\\left(\n", "\\begin{array}{c} 1 \\\\ 1 \\end{array}\n", "\\right)\n", "\\xrightarrow{f:A}\n", "\\left(\n", "\\begin{array}{c} 7 \\\\ 5 \\end{array}\n", "\\right)\n", "$$\n", "を2次元上のグラフで見てみましょう.\n", "\n", "draw_projcetion_line_pointsは座標(x,y)を受け取り,\n", "1. 位置p0(x,y)を作り,\n", "1. 行列(aa)によって写像される位置p1を作ります.\n", "1. p0に丸を赤色r(ed)で描き,\n", "1. 同じように位置p1に青色b(lue)で丸を描きます.\n", "1. もう一つ,p0からp1をつなぐlineを引きます.\n", "\n", "さらに,表示範囲を0..7,0..5として軸をdraw_axesで書いています.\n", "\n", "" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[2 5]\n", " [4 1]]\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ ":26: MatplotlibDeprecationWarning: The 'b' parameter of grid() has been renamed 'visible' since Matplotlib 3.5; support for the old name will be dropped two minor releases later.\n", " plt.grid(b=None, which='major', axis='both')\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "def draw_projcetion_line_points(x,y):\n", " p0 = np.array([x,y])\n", " p1 = np.dot(aa,p0)\n", "\n", " plt.plot(p0[0],p0[1],'o',color='r')\n", " plt.plot(p1[0],p1[1],'o',color='b')\n", " plt.plot([p0[0],p1[0]],[p0[1],p1[1]],\n", " color='k', linestyle='-', linewidth=1)\n", "\n", "def draw_axes(x_min,x_max,y_min,y_max):\n", " plt.hlines(0, x_min, x_max, color='k', linestyle='-',\n", " linewidth=1)\n", " plt.vlines(0, y_min, y_max, color='k', linestyle='-',\n", " linewidth=1)\n", "\n", "aa = np.array([[2,5], [4,1]])\n", "print(aa)\n", "draw_projcetion_line_points(1,1)\n", "\n", "draw_axes(0,7,0,5)\n", "\n", "# plt.axes().set_aspect('equal', 'datalim')\n", "plt.grid(b=None, which='major', axis='both')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "逆行列は" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[-0.05555556 0.27777778]\n", " [ 0.22222222 -0.11111111]]\n" ] } ], "source": [ "inv_aa = linalg.inv(aa)\n", "print(inv_aa)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "です.先ほどと逆に青から赤へたどる変換になっています.これが,連立方程式を解く様子をグラフで示しています.つまり,行列Aで示される変換によって求まる青点で示したベクトルb(7,5)を指す元の赤点を捜すというものです.答えは(1,1)となります." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 写像のポンチ絵の正体\n", "\n", "では,元の赤点をもう少しいろいろ取って,行列Aでどのような点へ写されるかを見てみましょう.\n", "\n", "1. n=32で分割した円周上の点(x0,y0)を求めて,\n", "1. draw_projcetion_line_pointsでそれぞれの点の写像\n", "\n", "します.\n" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "[[6 2]\n", " [2 4]]\n" ] } ], "source": [ "t = 0.5\n", "rr=2.0\n", "#aa = np.array([[rr*np.cos(t),-rr*np.sin(t)], [rr*np.sin(t),rr*np.cos(t)]])\n", "#aa = np.array([[1,1], [0,1]])\n", "aa = np.array([[6,2], [2,4]])\n", "\n", "div = 32\n", "for i in range(0,div):\n", " theta = 2*np.pi/div*i\n", " x0 = np.sin(theta)\n", " y0 = np.cos(theta)\n", " # print('%10.5f-%10.5f' % (x,y))\n", " draw_projcetion_line_points(x0,y0)\n", "\n", "draw_axes(-7,7,-5,5)\n", "\n", "#plt.axes().set_aspect('equal', 'datalim')\n", "plt.show()\n", "print(aa)" ] }, { "attachments": { "image.png": { "image/png": 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" } }, "cell_type": "markdown", "metadata": {}, "source": [ "できあがりの図を見てください.何やっているか分かります? 中心の赤点で示される円が,青点で示される楕円へ写されていることが分かるでしょうか.\n", "\n", "線形代数の講義で,写像を示すときによく使われるポンチ絵を現実の空間で示すとこのようになります.ポンチ絵では,赤で示した$V$空間が青で示した$W$空間へ行列$A$によって写像され,それぞれの要素$v$が$w$へ移されると意図しています.\n", "\n", "![image.png](attachment:image.png)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# 固有ベクトルの幾何学的意味\n", "\n", "では,ここでクイズです.固有ベクトルは上のグラフの何処に対応するか? ヒントは,\n", "> 行列Aの固有値,固有ベクトルを$\\lambda, x_0$とすると,\n", "> $$\n", " A \\,x_0 = \\lambda \\, x_0\n", " $$\n", "> が成立する\n", "\n", "です." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 解答 \n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "固有値$\\lambda$,固有ベクトル$x_0$の関係式\n", "\n", "$$\n", "A \\,x_0 = \\lambda \\, x_0\n", "$$\n", "を言葉で言い直すと,\n", ">固有ベクトル$x_0$は変換行列$A$によって,自分の固有値倍のベクトル$\\lambda x_0$に写されるベクトル\n", "となります.つまり変換の図で言うと,\n", ">変換しても方向が変わらない赤点(の方向)\n", "となります.\n", "\n", "固有値と固有ベクトルはpythonでは以下のeigコマンドで求まります." ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[6 2]\n", " [2 4]]\n", "[7.236 2.764]\n", "[[ 0.851 -0.526]\n", " [ 0.526 0.851]]\n" ] } ], "source": [ "import numpy as np\n", "import scipy.linalg as linalg\n", "\n", "np.set_printoptions(precision=3, suppress=True)\n", "\n", "aa = np.array([[6,2], [2,4]])\n", "#aa = np.array([[2,5], [4,1]])\n", "print(aa)\n", "#a = np.array([[3,2/3], [2/3,2]])\n", "l,P = np.linalg.eig(aa)\n", "print(l)\n", "print(P)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "ここではeigで戻り値をl ($\\lambda$(lambdaと書きます)),と$P$に代入しています.この後ろ側にある行列$P$の1列目で構成されるベクトルが固有値6に対応する固有ベクトル,2列目のベクトルが固有値-3に対応する固有ベクトルです.\n", "\n", "これを取り出すのは次のようにします." ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[0.851 0.526]\n", "[-0.526 0.851]\n" ] } ], "source": [ "v0 = P[:,0]\n", "v1 = P[:,1]\n", "print(v0)\n", "print(v1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "これを書き加えた図を示します.ちゃんと固有ベクトルになってるでしょう." ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "\n", "def draw_eigen_vector(v, t):\n", " plt.plot([-t*v[0],t*v[0]], [-t*v[1],t*v[1]], \n", " color='g', linestyle='-', linewidth=2)\n", "\n", "div = 32*4\n", "for i in range(0,div):\n", " theta = 2*np.pi/div*i\n", " x0 = np.sin(theta)\n", " y0 = np.cos(theta)\n", " # print('%10.5f-%10.5f' % (x,y))\n", " draw_projcetion_line_points(x0,y0)\n", "\n", "draw_axes(-7,7,-5,5)\n", "\n", "draw_eigen_vector(v0, 7)\n", "draw_eigen_vector(v1, 5)\n", "\n", "#plt.axes().set_aspect('equal', 'datalim')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "おまけですが,行列の対角化は次のようにしてできます.\n" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[7.236, 0. ],\n", " [0. , 2.764]])" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.dot(np.dot(np.linalg.inv(P),aa),P)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# 行列式の幾何学的意味\n", "\n", "\n", "行列Aの行列式(determinant, $\\left|A\\right|$あるいはdet$A$と表記)はdetで求まります." ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "20.000000000000007" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.linalg.det(aa)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "では次のクイズ.先ほど求めた,行列Aの行列式は,どこに対応するでしょう?\n", "以下の(1,0),(0,1)の点を変換した点に原点からベクトルを結んでその意味を説明してください.さらに,そのマイナスの意味は?." ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[2 5]\n", " [4 1]]\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ ":10: MatplotlibDeprecationWarning: The 'b' parameter of grid() has been renamed 'visible' since Matplotlib 3.5; support for the old name will be dropped two minor releases later.\n", " plt.grid(b=None, which='major', axis='both')\n" ] }, { "data": { "image/png": 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j1Alt28KECcHlbu5qLWozM2A6sNrdf539SPVr37593Hzzzaxfv55nn302lP9dEsmWPXv28Prrr6eKeenSpfTq1YtYLMZvfvMb+vbtS+vWrQ/apvqAYVERvP++c/rpxoQJOpAYpHT2qC8CbgTeNLNlyefGufuCrKWqJ3v37uXGG2/ko48+4plnnqFt27ZBRxLJqqqqKpYtW5Yq5ldeeYWzzz6baDRKUVERAwYMoF27drW+z4gRiaW0tIzBgwdnP7gcUa1F7e4vAdYAWerVnj17GD58OJ999hnz58/nuOOOCzqSSL1zd9asWZMq5uozmWKxGLfeeitz5szhC1/4QtAx5Sg1ySsTd+/ezbXXXssxxxzDvHnzOPbYY4OOJFJvKioqUsVcUlJCq1atiMVifOMb32DSpEl07tw56IhSz5pcUe/atYtrrrmG448/njlz5tCqVaugI4kclc2bN6dKeeHChVRWVhKNRolGo/z85z/njDPOIHEoSZqqJlXUO3bs4Oqrr+bkk09m5syZtGzZpP540kxs376dsrKyVDGvX7+egQMHEovF+OEPf8h5552nYm5mmkyTffrpp1xxxRWceeaZTJs2jRYtWgQdSSQtu3btory8nOeff56FCxeycuVKLrzwQmKxGNOmTaOgoEA7Hc1ck/jb3759O5dddhndu3dn8uTJHHOM5kOQ8Nq7dy9LlixJjTMvXryY/Px8rrnmGu677z769eung99ykEZf1Nu2beOSSy7hggsu4JFHHlFJS+js37+fN998M1XML774Il27diUWizFmzBgGDhxIeXm5ToOTw2rURf3hhx8ydOhQotEoDzzwgMbtJBTcnXfeeSdVzPF4nI4dOxKLxfj2t7/NH/7wBzp16hR0TGlEGm1R//vf/2bIkCFcddVVTJgwQSUtgdqwYcNBZ2a4O7FYjCuuuIIHH3yQ0047LeiI0og1yqLetGkT0WiU66+/nrvvvlslLQ1u69atxOPxVDFv3bqVSCRCNBpl3LhxdOvWTT+XUm8aXVFv2LCBaDTKTTfdxLhx44KOI81EZWUlixYtShXz2rVrGTBgANFolMLCQr7yla/o+IhkTaMq6nXr1hGLxfj+97/PmDFjgo4jTdju3bt59dVXU8W8fPly+vTpQzQaZdKkSfTp00cXU0mDaTRF/e6776aOko8aNSroONLEVFVVUV5enirm1157jXPPPTd19V///v11Uy8JTKMo6n/+858MGTKEu+66i8LqydtEjoK7s3LlylQxL1q0iC5duhCNRhk1ahRPPPEEHTp0CDqmCNAIinrVqlUMHTqUe++9l+985ztBx5FGbO3atTzzzDNMmTKFkpIScnJyiEajDB8+nKlTp5Kbmxt0RJEahbqoV6xYwSWXXMLEiRMZOXJk0HGkkdm0aRPxeDx1PvNnn33Geeedxw033MCvfvUr8vPzg44okpbQFvXSpUu5/PLLeeSRR/jmN78ZdBxpBLZt20ZZWVmqmP/1r38xePDg1LGNc845h7Iy3QhfGp90puKaAVwJbHb37llLMnt2aj761zt35uqdO5kycybDhg3L2m8pjduOHTt4+eWXU8W8Zs0a+vfvTzQaZebMmfTs2VM355ImIZ096j8AjwJ/zFqK2bM5cDbNqz74gMeOPZYrduzI2m8pjc+ePXtYvHhxqpjLy8vp2bMn0WiUBx98kL59+2qSCGmS0pmKa5GZ5Wc1RVER7NxJafLhn4CLd+9OPK8ZNZutqqoqli9fnirml19+mW7duhGNRhk7diwDBgzQZMXSLJi7175SoqifPtLQh5kVAoUAubm5BcXFxWmHGBSNYu78N/AAUJ3IzSgrKUn7fbKpsrIylKXQlHK5O+vXr6e8vJw33niD5cuX06FDB3r27EmvXr04//zzad++fYPnagjKlZmmmCsSiZS7e+8aX3T3WhcgH3grnXXdnYKCAs9IXp47uCc6OvW15+Vl9j5ZFI/Hg45Qo8aeq6KiwmfMmOEjR470U045xU877TS/6aabfNasWb5x48bAcjU05cpMU8wFLPHDdGo4zvqYMOGgMWoA2rZNPC9NypYtWw66y9z27duJRqPEYjHGjx/PmWeeqZsZiRwiHEVdPQ5dVAQVFZCXlyhpjU83ep988gmLFi1KjTNXVFTw1a9+lVgsxu2330737t11MyORWqRzet5cYDDQycw2AOPdfXq9JxkxIrGYwbp19f720jB27drFq6++yowZMxg7dixvvvkmffv2JRaLMWXKFHr37q35/0QylM5ZH8MbIog0Tvv27fvc/H/du3fnrLPOYsKECfTv31/z/4kcJe3aSEb279/PW2+9ddD8f3l5ecRiMUaPHs3AgQM54YQTKC0t1RWAIvVERS1H5O68++67B83/1759e2KxGDfeeCMzZszgpJNOCjqmSJOmopbP2bhx40FnZlRVVRGLxbjsssuYOHEip59+etARRZoVFbXw0UcfHTT/35YtW1Lz//30pz/l7LPP1ilzIgFSUTdDlZWVvPjii6lifuedd1Lz/82dO5fzzz9fp8yJhIiKuhnYvXs3r732WqqYly1bRu/evYlGo/z2t7+lT58+tG7dOuiYInIYKuomqKqqiqVLl6aK+dVXX+Wcc84hGo0yfvx4LrroIs3/J9KIqKibAHdn1apVqWIuKyvj1FNPJRqNcvvtt/P444/TsWPHoGOKSB2pqBup9957j5KSEubMmcP1119PmzZtiMViXHfddUyePJmTTz456IgiUk9U1I3EBx98cND8fzt37iQajdKrVy+mTZtG165dg44oIlmiog6pjz/++KD5/zZu3MigQYOIRqOMHj2ac889FzOjtLRUJS3SxKmoQ2Lnzp28/PLLqXHm1atX069fP6LRKI899hg9e/bUzYxEmin9yw/I3r17D5r/b8mSJfTo0YNoNMrEiRO58MILNf+fiAAq6gazf/9+li9fntpjfumllzjrrLOIRqPceeedDBgwgOOPPz7omCISQirqLHF33n777dQec2lpKZ06dSIajXLLLbcwa9YsTjzxxKBjikgjoKKuR+vXr0/tMZeUlGBmxGIxvva1r/HQQw/RpUuXoCOKSCOUVlGb2aXAw0ALYJq735fVVGEyezYUFTHo/ffh9NMPmiJsy5YtlJaWpop527ZtRCIRYrEYd911F2eddZZuZiQiRy2dqbhaAJOAocAG4P/MbL67r8p2uMDNnp2adNeATyoqePGWW1j4pz9RsmkT7733Xmr+v9tuu40vf/nLupmRiNS7dPaoLwDecfe1AGZWDHwNaPpFXVQEO3fyP8BjwArggt27ib32Gr9fsIDevXvTqlWrgEOKSFOXTlGfCqw/4PEGoO+hK5lZIVAIkJubS2lpaZ0Cde/ePdTDBXEg/vHH0L9/0FFEJGSGD8/SFLPufsQF+C8S49LVj28EHj3SNgUFBV5X8Xi8ztvWu7w8d/j8kpcXdLKUUH2/DqBcmVGuzDTFXMASP0ynpjOguhE47YDHXZLPNX0TJsChtwNt2zbxvIhIA0mnqP8P6GZmXc2sNXA9MD+7sUJixAiYOhXy8nAzyMtLPE6e9SEi0hBqLWp33wf8AHgOWA382d1XZjtYaIwYAevWUVZSAuvWqaRFpMGldR61uy8AFmQ5i4iI1EAn/YqIhJyKWkQk5FTUIiIhp6IWEQk5S5xnXc9varYFqKjj5p2AD+sxTn1RrswoV2aUKzNNMVeeu59U0wtZKeqjYWZL3L130DkOpVyZUa7MKFdmmlsuDX2IiIScilpEJOTCWNRTgw5wGMqVGeXKjHJlplnlCt0YtYiIHCyMe9QiInIAFbWISMiFpqjN7FIz+6eZvWNmPw06TzUzm2Fmm83sraCzVDOz08wsbmarzGylmd0RdKZqZnacmS02s+XJbD8POlM1M2thZm+Y2dNBZzmQma0zszfNbJmZLQk6TzUz62BmT5rZGjNbbWb9QpDpS8nvU/XyiZn9KOhcAGY2Ovkz/5aZzTWz4+rtvcMwRp2cQPdtDphAFxjuIZhA18wGApXAH929e9B5AMysM9DZ3Zea2fFAOTAsJN8vA9q5e6WZtQJeAu5w99cCjoaZ/RjoDZzg7lcGnaeama0Dert7qC7gMLOZwIvuPi15L/q27v5xwLFSkr2xEejr7nW9wK6+spxK4mf9XHffZWZ/Bha4+x/q4/3DskedmkDX3fcA1RPoBs7dFwEfBZ3jQO6+yd2XJr/+lMR9wk8NNlVCclahyuTDVskl8L0BM+sCXAFMCzpLY2Bm7YGBwHQAd98TppJOigHvBl3SB2gJtDGzlkBb4F/19cZhKeqaJtANRfGEnZnlAz2B1wOOkpIcYlgGbAZecPcwZHsI+H/A/oBz1MSB582sPDlJdBh0BbYAjyWHi6aZWbugQx3iemBu0CEA3H0j8ADwPrAJ2O7uz9fX+4elqKUOzCwHeAr4kbt/EnSeau5e5e49SMyveYGZBTpkZGZXApvdvTzIHEcwwN17AZcBtyeH24LWEugF/N7dewI7gDAdO2oNXA08EXQWADPrSGIUoCtwCtDOzEbW1/uHpaib7wS6dZQc/30KmO3u84LOU5Pkf5XjwKUBR7kIuDo5FlwMRM3sT8FG+o/k3hjuvhn4C4mhwKBtADYc8L+hJ0kUd1hcBix1938HHSRpCPCeu29x973APKB/fb15WIq6+U6gWwfJA3bTgdXu/uug8xzIzE4ysw7Jr9uQOEC8JshM7j7W3bu4ez6Jn60Sd6+3vZ2jYWbtkgeESQ4tXAwEfoaRu38ArDezLyWfigGBH6w+wHBCMuyR9D5woZm1Tf77jJE4dlQv0pozMdvcfZ+ZVU+g2wKYEZYJdM1sLjAY6GRmG4Dx7j492FRcBNwIvJkcCwYYl5zbMmidgZnJI/LHkJgMOVSnw4VMLvCXxL9tWgJz3P3ZYCOljAJmJ3ee1gLfCTgPkPpAGwrcGnSWau7+upk9CSwF9gFvUI+Xk4fi9DwRETm8sAx9iIjIYaioRURCTkUtIhJyKmoRkZBTUYuIhJyKWkQk5FTUIiIh9/8BBdh6lj/U6FgAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "a = np.array([[2,5], [4,1]])\n", "print(a)\n", "draw_projcetion_line_points(1,0)\n", "draw_projcetion_line_points(0,1)\n", "\n", "\n", "draw_axes(0,8,0,8)\n", "\n", "#plt.axes().set_aspect('equal', 'datalim')\n", "plt.grid(b=None, which='major', axis='both')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# 行列式が0の写像\n", "\n", "では,行列式が0になるというのはどういう状態でしょう? 次のような行列を考えてみましょう.\n", "$$\n", "\\left[ \\begin {array}{cc} 2&1\\\\ 4&2\n", "\\end {array} \\right]\n", "$$\n", "\n", "この行列の行列式は" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.0" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" } ], "source": [ "aa = np.array([[2,1],[4,2]])\n", "np.linalg.det(aa)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "です.この変換行列で,上と同じように写像の様子を表示させてみましょう." ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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9lhUrViAi3HnnnR78lOpyoC1ypQBiYiAiwnoeEcGHTzzBgAED+PDDD7nrrrvo3bs3YWFhzJ49mwYNGnD0aC/gB+BWYESBE1lD7JOTk/nwww8ZM2YMiYmJnDp1imHDhuHj48OGDRvo2bMn8fHxNG7cmCZNmlTuZ1WXHU3kqnrKTdw2G9SvD8OGQUICAK8lJPDom2/St25dnu3Rg5DAQLb+9BM3BgbyyCOPsG7dOmy274GFwKPANQVObHVhmT17Nn379qVhw4YcOHCA/fv3M2LECHbt2kVaWhpNmzbF5XLpIsuqXGhpRVUPMTEwdSocPAh168KZM5CdjQB7U1JYh1UkAZgCdAGa7tlDe2APsEGEVmvXwtatPJmSwm3+w9goc8jIzv8VqlHDRWbms2Rn/5fo6GjWrFkDWMu+hYeH07JlSyZPnoyI8P3332O32+nbt29lfhfUZUpb5OryFxMDo0dbLW4RSEmB7GyWA42BO4AvgdwOgIeA74BngRnALKAVQE4Ou1JSWAgsyXqHOTKK8HppgFCz5h/MnWsDFrNkyRJat27NddddB8D27dvp06cPIsKiRYto0aIFX3/9NQCdO3eupG+CupxpIleXp4KlkyFDICODpVirZubqBPyCVQxZDDzh3t7U/dUHWAYMdL8WYALwHNAAGJTzX9an1KSOzYc9r7zPoEHWcW+88QYTJ04EYN++faSmptKvXz82bdqEw+GgRYsWuFwurr76agICAirm86tqRUsr6vKT2wLPyLBeO50A3AJ0xVqrpyZWMi6WMSBC60KbnwFuL/D6VWCIy0WTv/4V6tQBrEUm7rrrLsCaV8Vms9GyZUumTZtGixYtyMrKwuFwaH1clRttkavLR24r/OGHISODrcADBXZHAN9glUxyCr/Xzw/q1bOeh4fDmDHWqJ4CDHAn+a2fZOA9YBJYfzTcq/uMT07GtngxDoeDd955Bz8/PwIDA1myZAkAu3fvxuFwMCi3Ca9UGWkiV5eHgnVwt5bAGsBZ4LArsEooE4G04GCr5R0eDgsWQHKyddCBAxAdDXPmWPuMsZK8n985l6wPbAVyOw/ud7f8H/njDxg9mlWTJtGkSRPCwsL49ttvCQsLIz4+nuzsbPz8/GjTpk0FfCNUdaSJXF0epk7NL6W4hQChwI7cDXY7GMOV4eE89tprXF2rFjELF1qJu6jW8aBB1j6Xy0ryCxZYib2AiALPZ7m/BgNkZDB39my6detGaGgo77//Pvfeey/Z2dkEBQXRtm1bTOFx/UpdIk3kyrvlllMKtMQHFtjdAdgAVpnk3XetpHzgANc88wxffvklTz/9dF7J40Knt9kgYuogYqYfgEWLziu7ANQu8DwR+Dkzk5bJyTRu3JhPP/2Uq666CpvNRmpqqtbHVbnSRK68VxHlFLB6oOTqAGwICrLKJIVa3W3atGHNmjWMHz+ejz766IKnF7G+jh4NMQw6t+xitwPwYoH3vgM8BCS9/z4Z8fFERkayfft2cnJySE9PZ8SIEeddT6lLJiKV/rjppptEqTILDxcBOQayycq1IlYvQet5YKBsmz5drrnmmgueZuvWrdKwYUNZvny59d5zTy9wWmBm7uklPLzQCRYtEgkMzLu2EyQcZAvICJB2vr6yYMECiYyMlIiICAkODi7v74SqJoDNUkRO1Ra58l7uFR1isXqinCM8HObMoc2kSSQmJnLy5MliT3PjjTeyatUqRo8eXdTpgQD3FU4X2u42yN1Cd0sF+gHtgd+BPTk59O3bl927d2OMyRsopFR50USuvFNMjFW4xqpHhxbe776B6ePjQ2RkJJs2bbrg6SIjI1mxYgVA3tD6sLDcvb7AjVjDhwpuL2DQoLwboXWA19yb47Gm1cpctIj09HSSkpK0Pq7KnSZy5X3cxWuX04lQKJEXcROyQ4cObNy4scTTRkVFATB48GCmTPmatLSCe8cCG/IWjChSETtOAA8D8ydMIMjfn7S0NIYOHVpiLEpdDE3kyvu4uxr+CLxCgURut59T4sgVFRXFhg0bSn36Rx/9iH/8YwApKWsLbO2Hr69/UfdM8+XucN/8TAAcWDc9P3E4qONwEBwcrNPWqnKniVx5H3cvlTisCa7yErnLVWSWjYqKYuPGjVj3ikq2cOH/AEuBB8ktp4APTudDDBxYinO4XABkYk22JcB2wOV0cr0mcVUBNJEr7xITQ+4CmXHA9VjJPBSKKV5DkyZNqFmzJr/99lupLmHdzLwdWEHBucZdrmbs37+/5BO440gEmmPNrBgMJAH3HThgfQalypEmcuVdpk4FEVzkJ/K8FnmxxWurTl7a8kr+34OOWNNrWQIDU0pVa2f6dAgMzItrOdbcLk6gb06O9RmUKkeayJV3cff9WwTsBFoAZ4G6cIHi9cUlcncePkdgIPTuvbF053B3R8xtkWe5H3645zU/r/+iUmVTLoncGNPTGLPHGLPXGDO5PM6pVJHczeV/YZUr0rBavabQHCiFXUwiH1Ro4Ka7SzrjxoWU/qbpoEEkBgcTirUYnA/WwhWmwGdQqryUOZEbY+zA28BdQGtggDGm8DTOSpWPu+8mA6t/9k0UKKvcffcF39auXTv27NlDRqGJtYpTcL6s3Dm12rdvz86dO8nMzCzVORLr1SMU2IL1X0Ne7/ESYlXqYpVHi/wWYK+I7BeRbOADoHc5nFep861ezSagHtCOAol89eoLvi0gIIC2bduyZcuWS750YGAg1157Lb/++mupjk88coRQ4GvADnTP3VFCrEpdtKLG7V/MA2vu/nkFXg8G3iriuNHAZmBzWFjYJc818PzzzwvuOS30oQ996MPbHs8///wl5z+KmWvFSCn71hbHGPMA0FNERrpfDwaiROSx4t4TGRkpmzdvLtN1VTUVEUFkQgLbseZYmQlcB4wLD7dqIIAxpsg+44sXL2bZsmVFznSYq7j35lq0aBErVqxg6dKlF3x/ZmYmdQIDScOq5UcC63IPKhCrUhfDGLNFRCILby+P0sphrJvzuULd25Qqd6677iIOq2nTitLXyMG64bl+/fpSDwwqSu7gopIcPnyYZrVqsR+oAdxWcKfWyFU5K49E/gtwpTGmhTHGD+iPNZJCqXK389NPcWEt2Wan9DVygIiICJxOJ4mJiUChRSMiSjdOp1WrVqSlpXHkyJELHpeYmEhoVhZxWD1WOhfcqTVyVc7KnMhFxAE8hrU84m5gqYjsLOt5lSrKp0ePYoAM4F0KJPJS9M02xuR1Qyxu0YjSnqOkVnnBRN4RawbEPNqPXJWzculHLiKrReQqEblCRIofXqdUGa3086MucByrF8gZrEWQqVu3VO/PLY3kL/F5FOvPwnlLfharNH3SE1euJNQY4oBHOHcZOO1HrsqbjuxUXiV3IeVrsEZLNsX9Q3z6dKlqI7lJOL9RPAPog9XTu3RKTOQxMSR+/DGhInnTCOS54Dy4Sl0aTeTKayQkJJCRnc1JrHkJDwGNcneWcg6Tm2++mW3bttG8ebZ7y3SsAf59sf40lOyWW25hy5YtOByOog+YOpVEhyPvP4crcrfnTrN7gakElLoUmsiV13jvvfcIDg7GgbVYw/8C6QUPSEgosVW+YkVNsrNbcvBgnHsSRR9gIRCI3f5gqeKoXbs24eHhbN++vegDEhJIBK4E9mPdlAWKnWZXqbLSRK68xmeffUaDBg0INoZmwM9AVOGDLnDHMvcGZ05OB2ADIrkz4voSFraYdu2sX4ecnJwSYymyG2KBPyK5E2Y1Krhfa+OqgmgiV15j586diAjXX3kl3/r7E4g1GAislXiAC96xzL/BaSVysHqshIdDQoIvP/20BIBBgwYVXzZxK7JO7i7tZAN/AA0L7tPauKpAmsiVVzh06BDp6ekcP36ce4YO5f1bbqERVtfD08B5C7wV0TE8/wZnF9wTyp6z3d/fH4DTp08zZMgQnE5nsfGcl8hjYvJWLvIBYihQUgGtjasKpYlceYV58+ZRs2ZNHA4H3bp149Pt27H5+tIMq592m8JvyO0YXiCZ51c2WgEvFLHd8sknn3DixAmGDRtWbDJv06YNR44c4Y8//siv2bjZsG7G5gkP1ySuKpQmcuUVVq1aRZ06dRAR9u/fT2RkJMcCAznu50cOVhsbrFV48mRknNOTpbgFIwpXPGrUqMGnn37KoUOHGDVqFC73GpwF2e12IiMj2bRpU8Gazfm0pKIqgSZyVeWJCDt37iQjI4OwsDA+/PBD+vXrxx8ZGXwcFcXIkBBrwQbg5cJvTkjIK7MUt2BEUY3lwMBAVq5cyW+//cbYsWPPT+YxMXTYsoUNd92VV1IpkpZUVGUoakrEin7cdNNNlzyNo6p+du3aJcYYCQoKkgceeEBq1aolsbGxEhoaKiEhIXLs2DGR8HDZBBLunipU3A9n7nM/P5F69USMEQkPF1m0qMhrWb8S+U6fPi0dO3aUcePGiWvhQuu9IGKMbAbpWeBa5z3Cwyv8e6OqF4qZxlZb5KrK++9//4u/vz8tWrRARLjzzjs5ffo0fn5+3HHHHTRq1AimT2eG3c7jBd7nAP6R+yI7G1JS8idWGT4c6te/8IxZMTHUvO46ftqwgWlz5rDwkUeQ3Na3CDcC4Vh/Oc6jJRVViTSRqypv1apV+Pv7Y7fb2bt3LwMHDiQxMZGTJ08ycuRIAA537crnAQGMbG7NqCzASxTsm2JtS819UVxiByuxjxuXN6uWEaGJw8GDIiwmP3HbgGjIK+sAJddslKoAZV5Y4lLowhKqtLKzswkKCsJutxMUFITT6eTYsWNMmTKF+fPnc/LkSex2O88++yxpaWnMmjULYwyfA08B28lvrSQBs4Hn3K8FyAQK3v807u0YAyKkA0EF9h/DWvC54B+IPLpghKpgFbmwhFIV5ueff0ZEuPXWW8nKyuL+++8nICCAb7/9lo4dO2K328nIyGDu3LmMHz8+730v2Gw8T/4PuBN4EXiywLlPAZMLvJaCX0U4ijUyM6nAMY0oJolrKUV5kCZyVaV9+OGHgDVRlc1m4+GHHyYjI4Pdu3fTu3dvwJqDpVOnTlxxRd70VByv3YQOtjBcGFJs9ZiGtbhDbuvagdUy/1uBayW6v+aWShoDyUCDAsecV0YBLaUoj9NErqq0VatW5a2B6XQ66dq1K8uWLSMoKIh27drhcrmYOXMmEyZMAMhbxu1I+r8IdyVgx0V91yu8Y67mnrqhiDGk1ajBE1iDdtxVcTKAE4WubYwhoOAGPz+oVy+/Dr5woVVjP3BAk7jyKE3kqspKSkri8OHDXHHFFaxdu5ZOnTpht9uZO3cuNpuN0NBQ1qxZQ0BAALfdZq2KuWbNGgCysx/ASs0LgYkcF19qn/yDqMhIWtevT05UFJ1DrcR+yBgO2u3cVPDigYEwZsy5nc4XLIDkZGsWQ03eqgrRRK6qrK+++gpjDH369CE+Pp5BgwYRHx/Pb7/9xpkzZ2jSpAkzZsxg4sSJeavXv/DCC+53u4AbgGlAW+BNRJLo06cPLVq04D/r1hE9aRJhzZpxKjaWa95910rWkF8qiY62ErYmblXVFdW5vKIfOiBIlcZDDz0kgHz00UdijJG0tDR56qmnZOzYsdKkSRPZsWOHNG7cWM6ePSsiIp9//rm0bt1aAPeYnFiBBgJJAiKNGq2TRo0aycGDB2Xq1Kly1VVXye+//37ONSk0IEipqgQdEKS8iYiwevVqgoKC+OSTT6hbty4+Pj6899573H777YSGhjJjxgzGjRuHv78/IsJjj63nxIlNABgjwArgeaA+NWr8gcMxkNmzZ/PSSy+xZs0a1q1bR0REhAc/pVLlw8fTAShVlB07dpCVlUXHjh1ZuXIlHTt2ZMWKFbRt2xZjDA0aNGDZsmXs2bMHgMmT49i/fzIiNQAQMVg9yf0ICxMaNhxJVFQv3n33XdLT0/nuu+8IDg723AdUqhxpi1xVSWvWrMHhcHDjjTcSEBBAp06dmDt3LiNHjiQxMZE//viDP//5zzRs2BARYcaMhnlJPF8NwsPt/PWv/yE7ex+xsbHUqFGDzz77TJO4uqxoIldV0pIlSxARkpKSqFOnDo0aNWLr1q307duXhIQEdu7cmdfl8MsvvyQ7u1GR5zl4UHjuuefIysqiffv2LFq0CD8/v0r8JEpVPE3kqsrJzMxk27Zt1KlTh9WrV3Pq1Cni4uIYNGgQAQEBrF+/nvDwcNq2bZvXU6V+/cwCZ8ifdsJmO4zdbmfIkCHMmDEDm01/5NXlR3+qVZXz448/YozhyiuvpG3btmRkZPDxxx8zatQoRIQdO3YwePBgwGqNp6am8u9/1zhv0Qi7/SzGTOWVV15hypQpGGOKuJpS3k8TuapyFi9ejIjgdDqJioqiWbNmhIWF0bZtW3788UeysrL485//nNca/9vf/sbgwTbGj9+J3Z6IMUKtWidxuUaycOFdeTMkKnW50kSuqpzVq1djt9uJj4+nXr16ZGZm5iXjf//73wCEhobmtcYffPBBHA4HK1f2Z+nSTbzxxizOnKnHvHnd6N+/vyc/ilKVQhO5qlIOHz5McnIyPj4+3HHHHcTFxXHixAkeeugh9u3bx48//kidOnXw8/PjxRdf5G9/+xt2u53Zs2fTqFEjEhISeOaZZ5g8eTLDhw/39MdRqlJoIldVytKlSzHGEBgYyKBBg/jhhx/o3r07wcHBvPnmm9x77700b96cr776ilOnTvHggw+SnJzMSy+9RKtWrXj55Zfp2rUr03VKWVWN6MISqkq5+eabOXDgAGlpaRw/fpyQkBC++eYb2rdvT4sWLXj11Vf57LPPSEpK4oknnqB///6MHj2a9evXc/bsWc6ePUtsbCx169a9pOvnztmiVFVUIQtLGGP+aYyJN8bEGWM+McaElOV8qnpzuVzExsaSnZ3NHXfcwSeffIKvry9du3ZlwYIF9OzZk7NnzyIiea3xDRs28N5771GzZk1Onz7N4sWLLzmJK+Wtylpa+QpoKyLXA/8PmFL2kFR19cMPP+BwOEhLS2PcuHHMmTOHq6++GpfLxaxZs5gwYQKHDh3i559jSUr6Gz4+p7n11h40bdoWPz8/Hn/8cTp37uzpj6FUpStTIheRL0XE4X65AQgte0iquoqOjqZu3brY7Xbat2/Pli1b6NGjB8uXL6dp06bccsstrFq1mZSUHJKTOwM3IOLPwYP3kpRkY8oUbUeo6qk8b3YOBz4vx/Opaua7777D39+fdu3asXjxYho0aEBUVBQzZsxgwoQJiAi7d28GhgF/AlKB53E6Z5Oaugi73e7ZD6CUh5Q4+6Ex5mus5QsLmyoin7qPmYq1DGLMBc4zGhgNEBYWdknBqsvXiRMnSE5OJiAggGeeeYY5c+bgdDoxxnDo0CHuv/9+vvrqK0TOAoOB08Bx4FVgPkeONPVo/Ep5UomJXES6X2i/MWYocC9wh1zgdr+IzAHmgNVr5eLCVJe7t956i+DgYNLT07n22mvJzs4mNTWVZcuW8fjjj7NkiZ3hw6/D+ieyCZCF1SJ/ELgHbRuo6qysvVZ6ApOA+0Qko3xCUtXRRx99RK1atWjYsCEffPABPXr04Morr2TNmjXUqjWGESNcZGf7AEFAbWAWEAn8L4GBoN3GVXVW1hr5W0BN4CtjzDZjzOxyiElVM06nkz179nDy5Ek6d+7M8uXL81buefjhh/n73wPJyrIDieTfTw8AXiA83I85c3Q5TVW9lWmFIBFpVV6BqOpr2bJlAPj5+VGrVi26d+/Ob7/9xt69e1m2bBlvvZV7ZDPgtbz3GePLgQOVHa1SVY8O0VceN3fuXGrWrInT6eSXX35h5MiRfPvtt9xwww1cccUV+Pkddx/ZEOiR9z6tiytl0USuPEpEWL9+PRkZGQQEBHDmzBm6devG77//zqRJk/j666+pW/d1atRwnfM+rYsrlU8TufKoX3/9lczMTEJDQwkJCWH48OG8//772O12evXqxQsvvMDrr7enTZuZGHMQY4TwcLQurlQBZaqRK1VW0dHR+Pn50ahRI7Zt28bw4cPp1asX1157Ld988w0pKSk0bdqUbduG8PrrwpNPPunpkJWqcrRFrjxq5cqVuFwufv/9d2666SZSU1PZu3cvd955Jy+++CLTpk2jf//+3HDDDUycONHT4SpVJWmLXHnMgQMHSE5O5sYbb2Tbtm289dZbzJw5k/DwcPz8/EhOTmbjxo2cPHmSnTt36pqbShVDE7nymPfffx8RoU2bNmzfvp1bb72VkSNH4u9fn9df/5ycnOHs2TOFESPmUK9ePU+Hq1SVpaUV5THvvvsuxhh27NjBLbfcwoIFC2jb9j6OHz9ITk4GMBO4kcWLRxBT7Cw+SilN5MojkpKS2LdvH9dddx1xcXEMHTqUt99+m927ewK+QBiQBKwkIwOmTvVsvEpVZZrIlUesXLkSEaF9+/aICE6nkzZt2pCSsgXrx3ILMBVrgiw4eNCDwSpVxWmNXHnEvHnzEBFiY2Np3rw5r7xygIyMT7EWmXoaOAM8m3e8juJUqnjaIleVLj09nV9++YWIiAji4+OpW/cxDh58jqSkQGA70AH4B1aJRUdxKlUSbZGrSvfFF18gIjRv3tx9s3MgIjUAAeKA6wFrtZ/wcCuJ6yhOpYqniVxVuvnz5+NyuYiPj+fs2bNkZzdy73EAEwDrtTHo7IZKlYKWVlSlysnJ4euvv6ZWrVo0bdoUEaFWrVT3Xl9gGmAN/NG6uFKlo4lcVaq1a9fidDqpXbs2rVu3Jisri4cf3o0x5y4wpXVxpUpPE7mqVP/5z3+w2Wz88ccf7Nmzh+uuu47Y2EnUqTOZ+vXTMQad3VCpi6SJXFUaEWHNmjWICP379yc2NpY//elP7N27l9atf+XEiUBcLqsurklcqdLTRK4qzfr168nMzMTX15cmTZogInz77bdkZmby5ptv6qRYSl0iTeSq0syYMQM/Pz/q16/PvHkfAhFs3LgHp3MAO3e283R4SnktTeSq0nzxxRc4HA5aterJ0aOHcTozACfp6dMZPRqdGEupS6SJXFWKX3/9lTNnzuByudi0KRWoAaQA04F6OjGWUmWgA4JUpXjttdcICAigZs1HSUoaB9wI7CN3UizQibGUulTaIleV4osvviAr6wFSUv4BHAfaAqHkDsUHHQCk1KXSFrmqcDt27ODUqVPAy4gEAOuATuccowOAlLp0mshVhZs+fTr+/v5kZeU2ubsAweccowOAlLp0mshVhfv888/JycnBZjuMy9Wcwq3x8HBN4kqVhdbIVYWKi4sjNTUVf39/atV6VedUUaoCaCJXFeqVV17Bx8eH7OxsGjT4kkcf3UJ4ODqnilLlSBO5qlDLl3+Gw2HH6bSxf7+Ljh07cuAAOqeKUuVIE7mqMH//+xaystKBAKAmTufzjB3royM4lSpn5ZLIjTFPGWPEGFO/PM6nLg8vvfQD1qAfX2A1MFBHcCpVAcqcyI0xzYE/ATouT+VZtMhFTs5o4CRQH4gid/CPjuBUqnyVR4v8DWAS1sq5SgHw9NPZQBDwJdbf+Xw6glOp8lWmfuTGmN7AYRGJLWkuaWPMaGA0QJj+Jl/2jh/3cz+rReF+49rdUKnyZUQu3JA2xnwNNC5i11TgWeBPIpJqjDkARIpIckkXjYyMlM2bN19CuMob5OTk4Od3BAg/b1+9epBc4k+I5xhjKOl3QilPMcZsEZHIwttLLK2ISHcRaVv4AewHWgCx7iQeCmw1xhSV9FU1ERMDTZuuAqYA5w/+mTnTI2EpdVm75Bq5iGwXkYYiEiEiEUAi0F5EjpVbdMqrjBsHgwdDcnJL4EfgN3Irbjr4R6mKo3OtqHIREwOzZ4NVlVgB/Bm4HhEriR844NHwlLqslduAIHfLvApXP1VFmjo1N4kDfAL0AazmuHY3VKpi6chOVS4SEnKfncFK4J3z9mknJaUqlpZWVJmNG1fwVU0gv0eSMdrdUKmKpi1yVWZz5uQ+yzlv35gxeoNTqYqmiVyVmdOZ+2wFkHnOvujoyo5GqepHSyuqzOz23GT+5/O2K6UqnrbIVZmNHn1x25VS5Utb5KrMcssnc+ZYLXO73UriWlZRqnJoIlflIjpaE7dSnqKlFaWU8nKayJVSystpIldKKS+niVwppbycJnKllPJymsiVUsrLaSJXqoDnn3/e0yEoddE0kStVwAsvvODpEJS6aJrIlVLKy2kiV0opL6eJXCmlvJwmcqWU8nKayJVSystpIldKKS+niVwppbycJnKllPJyRkQq/6LGJAEJlX7hC6sPJHs6iFLypljBu+L1pljBu+L1plihasYbLiINCm/0SCKviowxm0Uk0tNxlIY3xQreFa83xQreFa83xQreFa+WVpRSystpIldKKS+niTzfHE8HcBG8KVbwrni9KVbwrni9KVbwoni1Rq6UUl5OW+RKKeXlNJErpZSX00ReiDHmcWNMvDFmpzHmNU/HUxJjzFPGGDHG1Pd0LBdijPmn+/saZ4z5xBgT4umYCjPG9DTG7DHG7DXGTPZ0PMUxxjQ3xnxnjNnl/jkd7+mYSsMYYzfG/GqM+czTsVyIMSbEGLPM/fO62xjT0dMxlUQTeQHGmNuB3sANItIGeN3DIV2QMaY58CfgoKdjKYWvgLYicj3w/4ApHo7nHMYYO/A2cBfQGhhgjGnt2aiK5QCeEpHWQAfgL1U41oLGA7s9HUQpzAS+EJFrgBvwgpg1kZ9rLPAPEckCEJETHo6nJG8Ak4Aqf8daRL4UEYf75QYg1JPxFOEWYK+I7BeRbOADrD/qVY6IHBWRre7nZ7ASTTPPRnVhxphQ4B5gnqdjuRBjTG2gCzAfQESyReSUR4MqBU3k57oK+B9jzEZjzPfGmJs9HVBxjDG9gcMiEuvpWC7BcOBzTwdRSDPgUIHXiVTx5AhgjIkAbgQ2ejiUkszAanS4PBxHSVoAScA77jLQPGNMkKeDKomPpwOobMaYr4HGReyaivX9qIv17+rNwFJjTEvxUB/NEmJ9FqusUmVcKF4R+dR9zFSs0kBMZcZ2OTLGBAMfARNE5LSn4ymOMeZe4ISIbDHGdPVwOCXxAdoDj4vIRmPMTGAy8Jxnw7qwapfIRaR7cfuMMWOBj92Je5MxxoU1cU5SZcVXUHGxGmOuw2o5xBpjwCpTbDXG3CIixyoxxHNc6HsLYIwZCtwL3OGpP44XcBhoXuB1qHtblWSM8cVK4jEi8rGn4ylBJ+A+Y8zdQABQyxizSEQe9nBcRUkEEkUk9z+cZViJvErT0sq5lgO3AxhjrgL8qHqznyEi20WkoYhEiEgE1g9fe08m8ZIYY3pi/Wt9n4hkeDqeIvwCXGmMaWGM8QP6Ays8HFORjPXXez6wW0T+7el4SiIiU0Qk1P2z2h/4toomcdy/Q4eMMVe7N90B7PJgSKVS7VrkJVgALDDG7ACygSFVsOXord4C/IGv3P9FbBCRMZ4NKZ+IOIwxjwFrADuwQER2ejis4nQCBgPbjTHb3NueFZHVngvpsvI4EOP+g74fGObheEqkQ/SVUsrLaWlFKaW8nCZypZTycprIlVLKy2kiV0opL6eJXCmlvJwmcqWU8nKayJVSysv9f7svGkIV5HGbAAAAAElFTkSuQmCC\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "aa = np.array([[2,1], [4,2]])\n", "\n", "div = 32\n", "for i in range(0,div):\n", " theta = 2*np.pi/div*i\n", " x0 = np.sin(theta)\n", " y0 = np.cos(theta)\n", " # print('%10.5f-%10.5f' % (x,y))\n", " draw_projcetion_line_points(x0,y0)\n", "\n", "draw_axes(-7,7,-5,5)\n", "\n", "#plt.axes().set_aspect('equal', 'datalim')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "今回の移動先の青点は直線となっています.つまり,determinantが0ということは,変換すると面積がつぶれるという事を意味しています.平面がひとつ次元を落として線になるということです." ] }, { "attachments": { "image.png": { "image/png": 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" } }, "cell_type": "markdown", "metadata": {}, "source": [ "次に,この行列の表わす写像によって原点(0,0)に写される元の座標を求めてみます.連立方程式に戻してみると\n", "$$\n", "\\left[ \\begin {array}{c} 2\\,x+y\\\\ 4\\,x+2\\,y\\end {array} \\right] = \\left[ \\begin {array}{c} 0\\\\ 0\\end {array} \\right]\n", "$$\n", "となります.とよく見ると,1行目も2行目もおなじ式になっています.2次元正方行列で,行列式が0の時には必ずこういう形になり,直線の式となります.これを表示すると\n", "\n", "\n", "![image.png](attachment:image.png)\n", "\n", "左図の赤線となります.この直線上の全ての点が[0,0]へ写されることを確認してください.また,緑の線上の点は全て[1,2]へ写されることが確認できます." ] }, { "attachments": { "image.png": { "image/png": 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" } }, "cell_type": "markdown", "metadata": {}, "source": [ "\n", "こうしてすべて調べていけば,左の平面上のすべて点は右の青の直線上へ写されることが分かります.今まで見てきた円と楕円とはまったく違った写像が,行列式が0の行列では起こっていることが分かると思います.右の青線を行列Aによる像(Image, Im$A$と表記),左の赤線,つまり写像によって[0,0]へ写される集合を核(Kernel, Ker$A$と表記)と呼びます.\n", "\n", "これをポンチ絵で描くと,次の通りです.\n", "\n", "\n", "|像(Image) |\n", "|:----|\n", "|![image.png](attachment:image.png)" ] }, { "attachments": { "image.png": { "image/png": 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" } }, "cell_type": "markdown", "metadata": {}, "source": [ "|核(Kernel) |\n", "|:----|\n", "|![image.png](attachment:image.png)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# 全単射\n", "\n", "行列$A$による写像を$f$として,赤点に限らず元の点の集合を$V$, 移った先の点の集合を$W$とすると,\n", "\n", "$$\n", "f: V \\rightarrow W\n", "$$\n", "と表記されます.$v,w$を$V,W$の要素としたとき,異なる$v$が異なる$w$に写されることを単射,全ての$w$に対応する$v$がある写像を全射と言います.全単射,つまり全射でかつ単射,だと要素は一対一に対応します.先ほどのAは全射でもなく,単射でもない例です.\n", "\n", "行列式が0の場合の写像は単射ではありません.このとき,逆写像が作れそうにありません.これを連立方程式に戻して考えましょう.もともと,\n", "\n", "$$\n", "v = A^{-1} w\n", "$$\n", "の解$v$は点$w$が写像$A$によってどこから写されてきたかという意味を持ちます.逆写像が作れない場合は,連立方程式の解はパラメータをひとつ持った複数の解(直線)となります.これが係数行列の行列式が0の場合に,連立方程式の解が不定となる,あるいは像がつぶれるという関係です." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "行列の次元が高い場合には,いろいろなつぶれかたをします.行列の階数(rank)と次元(dimension)は" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1\n", "(2, 2)\n" ] } ], "source": [ "print(np.linalg.matrix_rank(aa))\n", "print(aa.shape)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "で求まります.\n", "\n", "Aをm行n列の行列とするとき,\n", ">Rank(A) = Dimension (Im A)\n", "\n", ">Dimension (Ker A) = n - Rank(A) \n", "\n", "が成立し,これを次元定理といいます.\n", "全射と単射の関係は,下の表のような一変数の方程式での解の性質の拡張と捉えることができます." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "|呼び名|条件|意味|\n", "|:----|:----|:----|\n", "|一意|$a<>0$|解は$x=b/a$のみ|\n", "|不定|$a=0, b=0$|解は無数 |\n", "|不能|$a=0, b<>0$|解は存在しない|\n", "||Table: 代数方程式$a x =b$の解の存在性." ] }, { "attachments": { "image.png": { "image/png": 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" } }, "cell_type": "markdown", "metadata": {}, "source": [ "![image.png](attachment:image.png)\n", "\n", "Table: m x n行列Aの全射と単射を示すポンチ絵." ] }, { "attachments": { "image.png": { "image/png": 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" } }, "cell_type": "markdown", "metadata": {}, "source": [ "# 課題\n", "\n", "\n", "下の図は\n", "$$A\\, = \\, \\left[ \\begin {array}{cc} 6 & 2\\\\ 2& 4\\end {array} \\right]$$\n", "\n", "を用いて変換される像を表わしている.この絵をpythonで描画せよ.また,この行列の固有値,行列式が何処に対応するか説明せよ.また,固有ベクトルの方向を記せ.(2007年度期末試験改)\n", "\n", "![image.png](attachment:image.png)\n", "\n" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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": "3.8.5" }, "latex_envs": { "LaTeX_envs_menu_present": true, "autocomplete": true, "bibliofile": "biblio.bib", "cite_by": "apalike", "current_citInitial": 1, "eqLabelWithNumbers": true, "eqNumInitial": 1, "hotkeys": { "equation": "Ctrl-E", 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