Linear Algebra with numpy

wk-03-04-Linear Algebra with numpy

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   "cells": [
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     "input": [
      "import numpy as np\n",
      "\n",
      "a = [[1, 0], [0, 1]] \n",
      "b = [[4, 1], [2, 2]]\n",
      "c = np.dot(a, b)\n",
      "print 'Dot product'\n",
      "print c\n",
      "\n",
      "# Inner product with vectors\n",
      "a = np.array([1,2,3])\n",
      "b = np.array([0,1,0])\n",
      "d = np.inner(a, b)\n",
      "print 'Inner product'\n",
      "print d\n",
      "\n",
      "# Inner product with arrays\n",
      "a = np.arange(6).reshape((2,3))\n",
      "b = np.arange(3)\n",
      "e = np.inner(a, b)\n",
      "print 'Outer product'\n",
      "print e\n",
      "\n",
      "# Outer product\n",
      "a = [1, 2]\n",
      "b = [1, 2, 3]\n",
      "f = np.outer(a, b)\n",
      "print 'Inner product'\n",
      "print f"
     ],
     "language": "python",
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     "cell_type": "code",
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     "input": [
      "import numpy as np\n",
      "\n",
      "# Trace\n",
      "a = np.eye(4)\n",
      "print a\n",
      "print np.trace(a)\n",
      "\n",
      "# Determinant\n",
      "b = np.array([[ 13, 4,  5],\n",
      "              [  6, 11, 8],\n",
      "              [  9, 10, 5]])\n",
      "print b\n",
      "print np.linalg.det(b)\n",
      "\n",
      "# Transpose\n",
      "c = np.array([[ 13, 4,  5, 57],\n",
      "              [  6, 11, 8, 11]])\n",
      "print c\n",
      "print np.transpose(c)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": []
    }
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