Added(A)/Deleted(D) following books

 A  Linear_Algebra_And_Its_Applications_by_G._Strang/CHAPTER1.ipynb
A  Linear_Algebra_And_Its_Applications_by_G._Strang/CHAPTER2.ipynb
A  Linear_Algebra_And_Its_Applications_by_G._Strang/CHAPTER3.ipynb
A  Linear_Algebra_And_Its_Applications_by_G._Strang/CHAPTER4.ipynb
A  Linear_Algebra_And_Its_Applications_by_G._Strang/CHAPTER5.ipynb
A  Linear_Algebra_And_Its_Applications_by_G._Strang/CHAPTER6.ipynb
A  Linear_Algebra_And_Its_Applications_by_G._Strang/CHAPTER7.ipynb
A  Linear_Algebra_And_Its_Applications_by_G._Strang/CHAPTER8.ipynb
A  Linear_Algebra_And_Its_Applications_by_G._Strang/screenshots/Ch5Eigenmatrix.png
A  Linear_Algebra_And_Its_Applications_by_G._Strang/screenshots/Ch5eigenVectors.png
A  Linear_Algebra_And_Its_Applications_by_G._Strang/screenshots/ch5eigenvaluematrix.png

1 files changed, 194 insertions, 0 deletions

diff --git a/Linear_Algebra_And_Its_Applications_by_G._Strang/CHAPTER4.ipynb b/Linear_Algebra_And_Its_Applications_by_G._Strang/CHAPTER4.ipynb
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+{
+ "cells": [
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "# Chapter 4 Determinants"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Ex:4.3.1 Pg:210"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 1,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Determinant= -0.0288448892628\n"
+     ]
+    }
+   ],
+   "source": [
+    "from numpy.linalg import det\n",
+    "from numpy.random import rand\n",
+    "n= 4 # the value of n\n",
+    "a=rand(n,n)\n",
+    "determinant = det(a)\n",
+    "print 'Determinant=',determinant"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Ex:4.3.3 Pg: 214"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 2,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "A=\n",
+      "[[ 2 -1  0  0]\n",
+      " [-1  2 -1  0]\n",
+      " [ 0 -1  2 -1]\n",
+      " [ 0  0 -1  2]]\n",
+      "[[ 5.]]\n"
+     ]
+    }
+   ],
+   "source": [
+    "from numpy import mat,shape, transpose as tp\n",
+    "from numpy.linalg import det\n",
+    "A=[[2, -1, 0, 0],[-1, 2, -1, 0],[0, -1 ,2 ,-1],[0, 0 ,-1 ,2]]\n",
+    "A=mat(A)\n",
+    "print 'A=\\n',A\n",
+    "m,n=shape(A)\n",
+    "\n",
+    "a=A[1,:]\n",
+    "\n",
+    "c=[];\n",
+    "for L in range(0,4):\n",
+    "    \n",
+    "    for i in range(0,4):\n",
+    "        l=[]\n",
+    "        for j in range(0,4):\n",
+    "            if i!=j:\n",
+    "                l.append(j)\n",
+    "            \n",
+    "        B=A[1:4,l]\n",
+    "        \n",
+    "    \n",
+    "    c1l=(-1)**(1+L+1)*det(B);\n",
+    "    c=c+[c1l]\n",
+    "\n",
+    "d=a*tp(mat(c))+1;\n",
+    "print d"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Ex:4.4.1 Pg:282"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 10,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Adjoint of A:\n",
+      "[[ 1. -1.  0.]\n",
+      " [ 0.  1. -1.]\n",
+      " [ 0.  0.  1.]]\n",
+      "inv(A):\n",
+      "[[ 1. -1.  0.]\n",
+      " [ 0.  1. -1.]\n",
+      " [ 0.  0.  1.]]\n"
+     ]
+    }
+   ],
+   "source": [
+    "# inverse of a sum matrix is a difference matrix\n",
+    "from numpy import mat,linalg,dot\n",
+    "A=mat([[1, 1 ,1],[0, 1, 1],[0, 0, 1]])\n",
+    "adjA = linalg.det(A)*linalg.inv(A)*linalg.det(A)\n",
+    "invA=(adjA/det(A))\n",
+    "print 'Adjoint of A:\\n',adjA\n",
+    "print 'inv(A):\\n',invA"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Ex:4.4.2 Pg: 222"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 56,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "x1= 9.0\n",
+      "x2= -3.0\n"
+     ]
+    }
+   ],
+   "source": [
+    "from numpy import mat\n",
+    "from numpy.linalg import det\n",
+    "#x1+3x2=0\n",
+    "#2x1+4x2=6\n",
+    "A=mat([[1, 3],[2, 4]])\n",
+    "b=mat([[0],[6]])\n",
+    "X1=mat([[0, 3],[6, 4]])\n",
+    "X2=mat([[1, 0],[2, 6]])\n",
+    "print 'x1=',(det(X1)/det(A))\n",
+    "print 'x2=',(det(X2)/det(A))"
+   ]
+  }
+ ],
+ "metadata": {
+  "kernelspec": {
+   "display_name": "Python 2",
+   "language": "python",
+   "name": "python2"
+  },
+  "language_info": {
+   "codemirror_mode": {
+    "name": "ipython",
+    "version": 2
+   },
+   "file_extension": ".py",
+   "mimetype": "text/x-python",
+   "name": "python",
+   "nbconvert_exporter": "python",
+   "pygments_lexer": "ipython2",
+   "version": "2.7.9"
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 0
+}