Eigen val and vectors.ipynb

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      "3\n",
      "-2\n",
      "1\n",
      "0\n",
      "original mat:  [[3, -2], [1, 0]]\n",
      "eigen val:  [2. 1.]\n",
      "eigen vectors:  [[0.89442719 0.70710678]\n",
      " [0.4472136  0.70710678]]\n"
     ]
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   "source": [
    "\"\"\" Program to calculate eigen values and eigen vectors\n",
    "       for 2*2 matrix( elements specified by the user ) using numpy in python.  \"\"\"\n",
    "\n",
    "\n",
    "import numpy as np\n",
    "n= 2                                                #2*2 matrix so 2                        \n",
    "a=[[0] *n for i in range(n)]            #empty list of 2 rows and 2 columns\n",
    "for i in range(n):\n",
    "    for j in range(n):\n",
    "        a[i][j]=int(input())                   #input matrix elements row wise\n",
    "                                                        #print matrix\n",
    "print(\"original mat: \",a)\n",
    "w,v= np.linalg.eig(a)                       #returns tuple consisting of a vector(w) which conatins eigen values and an array(v) containing eigen vectors,1 eigen vector per coloumn\n",
    "print(\"eigen val: \",w)\n",
    "print(\"eigen vectors: \",v)"
   ]
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