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, 352 insertions, 0 deletions

diff --git a/Linear_Algebra_And_Its_Applications_by_G._Strang/CHAPTER7.ipynb b/Linear_Algebra_And_Its_Applications_by_G._Strang/CHAPTER7.ipynb
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@@ -0,0 +1,352 @@
+{
+ "cells": [
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "# Chapter 7 Computations with Matrices"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Ex:7.4.1 Pg: 238"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 1,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "intial v & w:\n",
+      "[[ 0.]\n",
+      " [ 0.]] \n",
+      "\n",
+      "k= 0\n",
+      "v(k+1) & w(k+1)= [[ 1.]\n",
+      " [ 1.]] \n",
+      "\n",
+      "k= 1\n",
+      "v(k+1) & w(k+1)= [[ 1.5]\n",
+      " [ 1.5]] \n",
+      "\n",
+      "k= 2\n",
+      "v(k+1) & w(k+1)= [[ 1.75]\n",
+      " [ 1.75]] \n",
+      "\n",
+      "k= 3\n",
+      "v(k+1) & w(k+1)= [[ 1.875]\n",
+      " [ 1.875]] \n",
+      "\n",
+      "k= 4\n",
+      "v(k+1) & w(k+1)= [[ 1.9375]\n",
+      " [ 1.9375]] \n",
+      "\n",
+      "k= 5\n",
+      "v(k+1) & w(k+1)= [[ 1.96875]\n",
+      " [ 1.96875]] \n",
+      "\n",
+      "k= 6\n",
+      "v(k+1) & w(k+1)= [[ 1.984375]\n",
+      " [ 1.984375]] \n",
+      "\n",
+      "k= 7\n",
+      "v(k+1) & w(k+1)= [[ 1.9921875]\n",
+      " [ 1.9921875]] \n",
+      "\n",
+      "k= 8\n",
+      "v(k+1) & w(k+1)= [[ 1.99609375]\n",
+      " [ 1.99609375]] \n",
+      "\n",
+      "k= 9\n",
+      "v(k+1) & w(k+1)= [[ 1.99804688]\n",
+      " [ 1.99804688]] \n",
+      "\n",
+      "k= 10\n",
+      "v(k+1) & w(k+1)= [[ 1.99902344]\n",
+      " [ 1.99902344]] \n",
+      "\n",
+      "k= 11\n",
+      "v(k+1) & w(k+1)= [[ 1.99951172]\n",
+      " [ 1.99951172]] \n",
+      "\n",
+      "k= 12\n",
+      "v(k+1) & w(k+1)= [[ 1.99975586]\n",
+      " [ 1.99975586]] \n",
+      "\n",
+      "k= 13\n",
+      "v(k+1) & w(k+1)= [[ 1.99987793]\n",
+      " [ 1.99987793]] \n",
+      "\n",
+      "k= 14\n",
+      "v(k+1) & w(k+1)= [[ 1.99993896]\n",
+      " [ 1.99993896]] \n",
+      "\n",
+      "k= 15\n",
+      "v(k+1) & w(k+1)= [[ 1.99996948]\n",
+      " [ 1.99996948]] \n",
+      "\n",
+      "k= 16\n",
+      "v(k+1) & w(k+1)= [[ 1.99998474]\n",
+      " [ 1.99998474]] \n",
+      "\n",
+      "k= 17\n",
+      "v(k+1) & w(k+1)= [[ 1.99999237]\n",
+      " [ 1.99999237]] \n",
+      "\n",
+      "k= 18\n",
+      "v(k+1) & w(k+1)= [[ 1.99999619]\n",
+      " [ 1.99999619]] \n",
+      "\n",
+      "k= 19\n",
+      "v(k+1) & w(k+1)= [[ 1.99999809]\n",
+      " [ 1.99999809]] \n",
+      "\n",
+      "k= 20\n",
+      "v(k+1) & w(k+1)= [[ 1.99999905]\n",
+      " [ 1.99999905]] \n",
+      "\n",
+      "k= 21\n",
+      "v(k+1) & w(k+1)= [[ 1.99999952]\n",
+      " [ 1.99999952]] \n",
+      "\n",
+      "k= 22\n",
+      "v(k+1) & w(k+1)= [[ 1.99999976]\n",
+      " [ 1.99999976]] \n",
+      "\n",
+      "k= 23\n",
+      "v(k+1) & w(k+1)= [[ 1.99999988]\n",
+      " [ 1.99999988]] \n",
+      "\n",
+      "k= 24\n",
+      "v(k+1) & w(k+1)= [[ 1.99999994]\n",
+      " [ 1.99999994]] \n",
+      "\n",
+      "k= 25\n",
+      "v(k+1) & w(k+1)= [[ 1.99999997]\n",
+      " [ 1.99999997]] \n",
+      "\n"
+     ]
+    }
+   ],
+   "source": [
+    "from __future__ import division\n",
+    "from numpy import mat,transpose,zeros\n",
+    "A=mat([[2 ,-1],[-1, 2]])\n",
+    "S=mat([[2, 0],[0, 2]])\n",
+    "T=mat([[0, 1],[1, 0]])\n",
+    "p=S**-1*T\n",
+    "b=transpose(mat([2 ,2]))\n",
+    "x=zeros([2,1])\n",
+    "print 'intial v & w:\\n',x,'\\n'\n",
+    "x_1=zeros([1,2])\n",
+    "for k in range(0,26):\n",
+    "    x_1=p*x+(S**-1)*b\n",
+    "    x=x_1\n",
+    "    print 'k=',k\n",
+    "    print 'v(k+1) & w(k+1)=',x_1,'\\n'\n"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Ex:7.4.2 Pg: 238"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 2,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "intial v & w: [[ 0.]\n",
+      " [ 0.]]\n",
+      "k=\n",
+      "0\n",
+      "v(k+1) & w(k+1)=\n",
+      "[[ 0.10887353]\n",
+      " [ 0.53877511]]\n",
+      "k=\n",
+      "1\n",
+      "v(k+1) & w(k+1)=\n",
+      "[[ 0.37826108]\n",
+      " [ 0.67346888]]\n",
+      "k=\n",
+      "2\n",
+      "v(k+1) & w(k+1)=\n",
+      "[[ 0.44560797]\n",
+      " [ 0.70714233]]\n",
+      "k=\n",
+      "3\n",
+      "v(k+1) & w(k+1)=\n",
+      "[[ 0.46244469]\n",
+      " [ 0.71556069]]\n",
+      "k=\n",
+      "4\n",
+      "v(k+1) & w(k+1)=\n",
+      "[[ 0.46665387]\n",
+      " [ 0.71766528]]\n",
+      "k=\n",
+      "5\n",
+      "v(k+1) & w(k+1)=\n",
+      "[[ 0.46770617]\n",
+      " [ 0.71819143]]\n",
+      "k=\n",
+      "6\n",
+      "v(k+1) & w(k+1)=\n",
+      "[[ 0.46796924]\n",
+      " [ 0.71832296]]\n",
+      "k=\n",
+      "7\n",
+      "v(k+1) & w(k+1)=\n",
+      "[[ 0.46803501]\n",
+      " [ 0.71835585]]\n",
+      "k=\n",
+      "8\n",
+      "v(k+1) & w(k+1)=\n",
+      "[[ 0.46805145]\n",
+      " [ 0.71836407]]\n",
+      "k=\n",
+      "9\n",
+      "v(k+1) & w(k+1)=\n",
+      "[[ 0.46805556]\n",
+      " [ 0.71836612]]\n",
+      "k=\n",
+      "10\n",
+      "v(k+1) & w(k+1)=\n",
+      "[[ 0.46805659]\n",
+      " [ 0.71836664]]\n",
+      "k=\n",
+      "11\n",
+      "v(k+1) & w(k+1)=\n",
+      "[[ 0.46805685]\n",
+      " [ 0.71836676]]\n",
+      "k=\n",
+      "12\n",
+      "v(k+1) & w(k+1)=\n",
+      "[[ 0.46805691]\n",
+      " [ 0.7183668 ]]\n",
+      "k=\n",
+      "13\n",
+      "v(k+1) & w(k+1)=\n",
+      "[[ 0.46805693]\n",
+      " [ 0.71836681]]\n",
+      "k=\n",
+      "14\n",
+      "v(k+1) & w(k+1)=\n",
+      "[[ 0.46805693]\n",
+      " [ 0.71836681]]\n",
+      "k=\n",
+      "15\n",
+      "v(k+1) & w(k+1)=\n",
+      "[[ 0.46805693]\n",
+      " [ 0.71836681]]\n",
+      "k=\n",
+      "16\n",
+      "v(k+1) & w(k+1)=\n",
+      "[[ 0.46805693]\n",
+      " [ 0.71836681]]\n",
+      "k=\n",
+      "17\n",
+      "v(k+1) & w(k+1)=\n",
+      "[[ 0.46805693]\n",
+      " [ 0.71836681]]\n",
+      "k=\n",
+      "18\n",
+      "v(k+1) & w(k+1)=\n",
+      "[[ 0.46805693]\n",
+      " [ 0.71836681]]\n",
+      "k=\n",
+      "19\n",
+      "v(k+1) & w(k+1)=\n",
+      "[[ 0.46805693]\n",
+      " [ 0.71836681]]\n",
+      "k=\n",
+      "20\n",
+      "v(k+1) & w(k+1)=\n",
+      "[[ 0.46805693]\n",
+      " [ 0.71836681]]\n",
+      "k=\n",
+      "21\n",
+      "v(k+1) & w(k+1)=\n",
+      "[[ 0.46805693]\n",
+      " [ 0.71836681]]\n",
+      "k=\n",
+      "22\n",
+      "v(k+1) & w(k+1)=\n",
+      "[[ 0.46805693]\n",
+      " [ 0.71836681]]\n",
+      "k=\n",
+      "23\n",
+      "v(k+1) & w(k+1)=\n",
+      "[[ 0.46805693]\n",
+      " [ 0.71836681]]\n",
+      "k=\n",
+      "24\n",
+      "v(k+1) & w(k+1)=\n",
+      "[[ 0.46805693]\n",
+      " [ 0.71836681]]\n",
+      "k=\n",
+      "25\n",
+      "v(k+1) & w(k+1)=\n",
+      "[[ 0.46805693]\n",
+      " [ 0.71836681]]\n"
+     ]
+    }
+   ],
+   "source": [
+    "from __future__ import division\n",
+    "from numpy import mat,transpose,zeros\n",
+    "from numpy.random import rand\n",
+    "from numpy.linalg import inv\n",
+    "A=mat([[2, -1],[-1, 2]])\n",
+    "S=mat([[2, 0],[-1, 2]])\n",
+    "T=mat([[0, 1],[0, 0]])\n",
+    "b=rand(2,1)\n",
+    "p=inv(S)*T\n",
+    "x=zeros([2,1])\n",
+    "print 'intial v & w:',x\n",
+    "x_1=zeros([1,2])\n",
+    "for k in range(0,26):\n",
+    "    x_1=p*x+inv(S)*b\n",
+    "    x=x_1\n",
+    "    print 'k=\\n',k\n",
+    "    print 'v(k+1) & w(k+1)=\\n',x_1"
+   ]
+  }
+ ],
+ "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
+}