Sesi 04.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "04ea477d",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "462ba616",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'1.20.3'"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.__version__"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "b07d9260",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "nan"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.NaN"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "84e377b0",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
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       "       923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935,\n",
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       "       962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974,\n",
       "       975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987,\n",
       "       988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999])"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.arange(0,1000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "dc6b8c8c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0, 1, 2, 3, 4, 5, 6, 7, 8, 9])"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.arange(0,10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "e1298f65",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 1,  2,  3,  4],\n",
       "       [ 5,  6,  7,  8],\n",
       "       [ 9, 10, 11, 12]])"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a = np.array([[1,2,3,4],[5,6,7,8],[9,10,11,12]])\n",
    "a"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "b4659aaf",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 9, 10, 11, 12])"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a[2]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "5517e75b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[0, 0, 0],\n",
       "       [1, 1, 1]])"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.array([[0,0,0],\n",
    "          [1,1,1]])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "a278c73e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0., 0., 0., 0., 0., 0.])"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.zeros(6)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "573022b7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([1., 1., 1., 1., 1., 1.])"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.ones(6)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "dae2fa1a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([1., 1., 1., 1., 1., 1.])"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.empty(6)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "7a438f89",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0, 2, 4, 6, 8])"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.arange(0,10,2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "0abdf9ad",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 2,  7, 12, 17, 22, 27])"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.arange(2,29,5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "19e194de",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ -2,  -7, -12, -17, -22, -27, -32, -37, -42, -47, -52, -57, -62,\n",
       "       -67, -72, -77, -82, -87, -92, -97])"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.arange(-2,-100,-5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "2672b214",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([1, 2, 3, 4, 5, 6, 7, 8])"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "arr = np.array([1,2,3,4,5,6,7,8])\n",
    "arr"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "294bd4ad",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([1, 2, 3, 4, 5, 6, 7, 8, 1, 2])"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.append(arr,[1,2])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "8cfae6a8",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[1, 2, [10, 11]]"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x = [1,2]\n",
    "x.append([10,11])\n",
    "x"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "b49843d5",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([1, 3, 4, 5, 6, 7, 8])"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.delete(arr,1) # 1 di sini adalah indeks"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "d32405d5",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[2, 1, 3, 4, 5, 6, 7, 8],\n",
       "       [3, 4, 5, 1, 2, 6, 7, 8]])"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "arr = np.array([[2,1,3,4,5,6,7,8],[3,4,5,1,2,6,7,8]])\n",
    "arr"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "48d0fb51",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[1, 2, 3, 4, 5, 6, 7, 8],\n",
       "       [1, 2, 3, 4, 5, 6, 7, 8]])"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.sort(arr)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "c3c20511",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "arr.ndim"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "4e9d7acc",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "16"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "arr.size"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "f7d612d8",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(2, 8)"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "arr.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "c2b34108",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[[0, 1, 2, 3],\n",
       "        [4, 5, 6, 7]],\n",
       "\n",
       "       [[0, 1, 2, 3],\n",
       "        [4, 5, 6, 7]],\n",
       "\n",
       "       [[0, 1, 2, 3],\n",
       "        [4, 5, 6, 7]]])"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "arr = np.array([[[0,1,2,3],\n",
    "                 [4,5,6,7]],\n",
    "\n",
    "                [[0,1,2,3],\n",
    "                 [4,5,6,7]],\n",
    "\n",
    "                [[0,1,2,3],\n",
    "                 [4,5,6,7]]])\n",
    "arr"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "a1587fe6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "arr.ndim"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "5d5d9658",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "24"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "arr.size"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "6c85b428",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(3, 2, 4)"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "arr.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "c0e544a6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[1, 2, 3, 4, 5]])"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "arr = np.array([[1,2,3,4,5]])\n",
    "arr"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "7f925502",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "arr.ndim"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "id": "8d6cf791",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "5"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "arr.size"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "id": "a4354bbd",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(1, 5)"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "arr.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "id": "80e8db7e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0, 1, 2, 3, 4, 5])"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a = np.arange(6)\n",
    "a"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "id": "73a20e7b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[0, 1],\n",
       "       [2, 3],\n",
       "       [4, 5]])"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a.reshape(3,2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "id": "d5ecc960",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[0],\n",
       "       [1],\n",
       "       [2],\n",
       "       [3],\n",
       "       [4],\n",
       "       [5]])"
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a.reshape(6,1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "id": "ddd97fbe",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(6,)"
      ]
     },
     "execution_count": 35,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a = np.array([1,2,3,4,5,6])\n",
    "a.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "id": "6bb159e9",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(1, 6)"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a2 = a[np.newaxis]\n",
    "a2.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "id": "f2056a72",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[1, 2, 3, 4, 5, 6]])"
      ]
     },
     "execution_count": 37,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "id": "4836d4c3",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(1, 6)"
      ]
     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "row_vector = a[np.newaxis,:]\n",
    "row_vector.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "id": "757e12d5",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[1, 2, 3, 4, 5, 6]])"
      ]
     },
     "execution_count": 39,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "row_vector"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "id": "5e59007a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(6, 1)"
      ]
     },
     "execution_count": 40,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "col_vector = a[:,np.newaxis]\n",
    "col_vector.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "id": "e88104be",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[1],\n",
       "       [2],\n",
       "       [3],\n",
       "       [4],\n",
       "       [5],\n",
       "       [6]])"
      ]
     },
     "execution_count": 41,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "col_vector"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "id": "74cbfcd6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(6,)"
      ]
     },
     "execution_count": 42,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a = np.array([1,2,3,4,5,6])\n",
    "a.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "id": "5e6e5ab4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(6, 1)"
      ]
     },
     "execution_count": 43,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "b = np.expand_dims(a,axis=1)\n",
    "b.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "id": "f0ea4047",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[1],\n",
       "       [2],\n",
       "       [3],\n",
       "       [4],\n",
       "       [5],\n",
       "       [6]])"
      ]
     },
     "execution_count": 44,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "b"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "id": "73df0166",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(1, 6)"
      ]
     },
     "execution_count": 45,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "c = np.expand_dims(a,axis=0)\n",
    "c.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "id": "52225a17",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[1, 2, 3, 4, 5, 6]])"
      ]
     },
     "execution_count": 46,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "c"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c45e539e",
   "metadata": {},
   "source": [
    "# Indexing and Slicing"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "id": "fcc79b32",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([1, 2, 3])"
      ]
     },
     "execution_count": 47,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data = np.array([1,2,3])\n",
    "data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "id": "3416279a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1"
      ]
     },
     "execution_count": 48,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data[0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "id": "666bf6a6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2"
      ]
     },
     "execution_count": 49,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data[1]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "id": "003fa98f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3"
      ]
     },
     "execution_count": 50,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data[2]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "id": "0dd7f990",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([1, 2])"
      ]
     },
     "execution_count": 51,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data[0:2]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "id": "81bd32af",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([2, 3])"
      ]
     },
     "execution_count": 52,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data[1:]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "id": "9a590b40",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([2, 3])"
      ]
     },
     "execution_count": 53,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data[-2:]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "id": "d1a2f915",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 1,  2,  3,  4],\n",
       "       [ 5,  6,  7,  8],\n",
       "       [ 9, 10, 11, 12]])"
      ]
     },
     "execution_count": 54,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a = np.array([[1,2,3,4],[5,6,7,8],[9,10,11,12]])\n",
    "a"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "id": "48d83f5d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 5,  6,  7,  8,  9, 10, 11, 12])"
      ]
     },
     "execution_count": 55,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a[a >= 5]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "id": "ecde27ac",
   "metadata": {},
   "outputs": [],
   "source": [
    "# a[condition]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "id": "367d347c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 5,  6,  7,  8,  9, 10, 11, 12])"
      ]
     },
     "execution_count": 57,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "condition = (a >= 5)\n",
    "a[condition]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "id": "2d4a3fa3",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 2,  4,  6,  8, 10, 12])"
      ]
     },
     "execution_count": 58,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "condition = (a % 2 == 0)\n",
    "a[condition]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "id": "9a095aef",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 3,  4,  5,  6,  7,  8,  9, 10])"
      ]
     },
     "execution_count": 59,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "condition = (a > 2) & (a < 11)\n",
    "a[condition]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "id": "5841b7bd",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 3,  4,  5,  6,  7,  8,  9, 10])"
      ]
     },
     "execution_count": 60,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a[(a > 2) & (a < 11)]"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b3267919",
   "metadata": {},
   "source": [
    "# Creating Array from Existing Data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "id": "7852692f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 1,  2,  3,  4,  5,  6,  7,  8,  9, 10])"
      ]
     },
     "execution_count": 61,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "arr = np.array([1,2,3,4,5,6,7,8,9,10])\n",
    "arr"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "id": "5b3f4984",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([4, 5, 6, 7, 8])"
      ]
     },
     "execution_count": 62,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "arr1 = arr[3:8]\n",
    "arr1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "id": "bb6c1b56",
   "metadata": {},
   "outputs": [],
   "source": [
    "a_1 = np.array([[1,1],[2,2]])\n",
    "a_2 = np.array([[3,3],[4,4]])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "id": "6a0713d3",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[1, 1],\n",
       "       [2, 2]])"
      ]
     },
     "execution_count": 64,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a_1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "id": "eb9d9184",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[3, 3],\n",
       "       [4, 4]])"
      ]
     },
     "execution_count": 65,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a_2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "id": "4160eaf9",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[1, 1],\n",
       "       [2, 2],\n",
       "       [3, 3],\n",
       "       [4, 4]])"
      ]
     },
     "execution_count": 66,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.vstack((a_1,a_2))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "id": "acf19bf7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[1, 1, 3, 3],\n",
       "       [2, 2, 4, 4]])"
      ]
     },
     "execution_count": 67,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.hstack((a_1,a_2))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "id": "451f72af",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 1,  2,  3,  4,  5,  6,  7,  8,  9, 10, 11, 12],\n",
       "       [13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24]])"
      ]
     },
     "execution_count": 68,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "arrsplit = np.array([[1,2,3,4,5,6,7,8,9,10,11,12],\n",
    "                     [13,14,15,16,17,18,19,20,21,22,23,24]])\n",
    "arrsplit"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "id": "9e24cd52",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[array([[ 1,  2,  3,  4],\n",
       "        [13, 14, 15, 16]]),\n",
       " array([[ 5,  6,  7,  8],\n",
       "        [17, 18, 19, 20]]),\n",
       " array([[ 9, 10, 11, 12],\n",
       "        [21, 22, 23, 24]])]"
      ]
     },
     "execution_count": 69,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.hsplit(arrsplit,3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "id": "e696fe70",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 1,  2,  3,  4],\n",
       "       [ 5,  6,  7,  8],\n",
       "       [ 9, 10, 11, 12]])"
      ]
     },
     "execution_count": 70,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a = np.array([[1,2,3,4],[5,6,7,8],[9,10,11,12]])\n",
    "a"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 71,
   "id": "afe54030",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(3, 4)"
      ]
     },
     "execution_count": 71,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "id": "ea9f5f83",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 1,  2,  3,  4],\n",
       "       [ 5,  6,  7,  8],\n",
       "       [ 9, 10, 11, 12]])"
      ]
     },
     "execution_count": 72,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "b = a.view()\n",
    "b"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "id": "4a536db5",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 1,  2,  3,  4],\n",
       "       [ 5,  6,  7,  8],\n",
       "       [ 9, 10, 11, 12]])"
      ]
     },
     "execution_count": 73,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "c = a.copy()\n",
    "c"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "616eb19d",
   "metadata": {},
   "source": [
    "# Basic Array Operations"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 74,
   "id": "b7bf1a1f",
   "metadata": {},
   "outputs": [],
   "source": [
    "# array_1 - array_2\n",
    "# array_1 + array_2\n",
    "# array_1 * array_2\n",
    "# array_1 / array_2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "id": "54b7eaeb",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([1, 2, 3, 4])"
      ]
     },
     "execution_count": 75,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a = np.array([1,2,3,4])\n",
    "a"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 76,
   "id": "8fa9b972",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "10"
      ]
     },
     "execution_count": 76,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a.sum()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 77,
   "id": "1b065d10",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[1, 1],\n",
       "       [2, 2]])"
      ]
     },
     "execution_count": 77,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "b = np.array([[1,1],[2,2]])\n",
    "b"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 78,
   "id": "e4d65ae4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([3, 3])"
      ]
     },
     "execution_count": 78,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "b.sum(axis=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 79,
   "id": "2069f84c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([2, 4])"
      ]
     },
     "execution_count": 79,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "b.sum(axis=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 80,
   "id": "6dbbd6d1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([1, 2])"
      ]
     },
     "execution_count": 80,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data = np.array([1,2])\n",
    "data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 81,
   "id": "7e09ef8c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([1., 1.])"
      ]
     },
     "execution_count": 81,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ones = np.ones(2)\n",
    "ones"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 82,
   "id": "ba14121c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([2., 3.])"
      ]
     },
     "execution_count": 82,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data + ones"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 83,
   "id": "ef1462a6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([1., 2.])"
      ]
     },
     "execution_count": 83,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data * ones"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 84,
   "id": "d857574a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([1., 2.])"
      ]
     },
     "execution_count": 84,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data / ones"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 85,
   "id": "1e973f06",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0., 1.])"
      ]
     },
     "execution_count": 85,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data - ones"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "203a7fea",
   "metadata": {},
   "source": [
    "# Broadcasting"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 86,
   "id": "3fe9b3ae",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([1, 2])"
      ]
     },
     "execution_count": 86,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 87,
   "id": "69718736",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([1.6, 3.2])"
      ]
     },
     "execution_count": 87,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data * 1.6"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0d214984",
   "metadata": {},
   "source": [
    "# More Array Operations"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 88,
   "id": "41e26604",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2"
      ]
     },
     "execution_count": 88,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.max()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 89,
   "id": "7393b405",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1"
      ]
     },
     "execution_count": 89,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.min()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 90,
   "id": "4b12c7cb",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3"
      ]
     },
     "execution_count": 90,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.sum()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8f1247a3",
   "metadata": {},
   "source": [
    "# Matrices"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 91,
   "id": "9e6ca900",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[1, 2],\n",
       "       [3, 4]])"
      ]
     },
     "execution_count": 91,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.array([[1,2],[3,4]])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 92,
   "id": "6452715f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[1., 1.],\n",
       "       [1., 1.],\n",
       "       [1., 1.]])"
      ]
     },
     "execution_count": 92,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.ones((3,2))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 93,
   "id": "0f86d6c5",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[0., 0.],\n",
       "       [0., 0.],\n",
       "       [0., 0.]])"
      ]
     },
     "execution_count": 93,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.zeros((3,2))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 94,
   "id": "9552bfef",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[0.10801252, 0.99338893],\n",
       "       [0.771178  , 0.19166276],\n",
       "       [0.04960426, 0.86365346]])"
      ]
     },
     "execution_count": 94,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.random.random((3,2))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 95,
   "id": "0732bbef",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[1, 2],\n",
       "       [3, 4]])"
      ]
     },
     "execution_count": 95,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data = np.array([[1,2],[3,4]])\n",
    "data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 96,
   "id": "2e3cb14e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[1., 1.],\n",
       "       [1., 1.]])"
      ]
     },
     "execution_count": 96,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ones = np.ones((2,2))\n",
    "ones"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 97,
   "id": "00622df6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[2., 3.],\n",
       "       [4., 5.]])"
      ]
     },
     "execution_count": 97,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data + ones"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 98,
   "id": "9a4012d2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[1., 2.],\n",
       "       [3., 4.]])"
      ]
     },
     "execution_count": 98,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data * ones"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 99,
   "id": "b7778d4d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[0., 1.],\n",
       "       [2., 3.]])"
      ]
     },
     "execution_count": 99,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data - ones"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 100,
   "id": "d9c50c20",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[1., 2.],\n",
       "       [3., 4.]])"
      ]
     },
     "execution_count": 100,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data / ones"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ce1238d8",
   "metadata": {},
   "source": [
    "# Dot Product"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 101,
   "id": "06240115",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(2, 3)"
      ]
     },
     "execution_count": 101,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a_1 = np.array([[1,2,3],[4,5,6]])\n",
    "a_1.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 102,
   "id": "0e09780f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(3, 2)"
      ]
     },
     "execution_count": 102,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a_2 = np.array(([7,8],[9,10],[11,12]))\n",
    "a_2.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 103,
   "id": "3a55f6bc",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 58,  64],\n",
       "       [139, 154]])"
      ]
     },
     "execution_count": 103,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.dot(a_1,a_2)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "62694614",
   "metadata": {},
   "source": [
    "# Matrix Indexing"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 104,
   "id": "89399cb8",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[1, 2],\n",
       "       [3, 4],\n",
       "       [5, 6]])"
      ]
     },
     "execution_count": 104,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data = np.array([[1,2],[3,4],[5,6]])\n",
    "data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 105,
   "id": "978ea237",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2"
      ]
     },
     "execution_count": 105,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data[0,1]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 106,
   "id": "277f8066",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[3, 4],\n",
       "       [5, 6]])"
      ]
     },
     "execution_count": 106,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data[1:3]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 107,
   "id": "52d3b1a8",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([2, 4])"
      ]
     },
     "execution_count": 107,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data[0:2,1]"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c3e9e8e7",
   "metadata": {},
   "source": [
    "# Matrix Aggregation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 108,
   "id": "84b35be7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[1, 2],\n",
       "       [3, 4],\n",
       "       [5, 6]])"
      ]
     },
     "execution_count": 108,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 109,
   "id": "ab902486",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "6"
      ]
     },
     "execution_count": 109,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.max()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 110,
   "id": "59f66c68",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1"
      ]
     },
     "execution_count": 110,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.min()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 111,
   "id": "2e0fa1c8",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "21"
      ]
     },
     "execution_count": 111,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.sum()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 112,
   "id": "2d462171",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1.707825127659933"
      ]
     },
     "execution_count": 112,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.std()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 113,
   "id": "d3c7dc02",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([5, 6])"
      ]
     },
     "execution_count": 113,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.max(axis=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 114,
   "id": "36fe7d6b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([2, 4, 6])"
      ]
     },
     "execution_count": 114,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.max(axis=1)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5173c5eb",
   "metadata": {},
   "source": [
    "# Transposing and Reshaping"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 115,
   "id": "5a583d03",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[1, 2],\n",
       "       [3, 4],\n",
       "       [5, 6]])"
      ]
     },
     "execution_count": 115,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 116,
   "id": "18f07d8d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[1, 3, 5],\n",
       "       [2, 4, 6]])"
      ]
     },
     "execution_count": 116,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.T"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 117,
   "id": "6fe49db2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[1, 2, 3, 4, 5, 6]])"
      ]
     },
     "execution_count": 117,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data_col = np.array([[1,2,3,4,5,6]])\n",
    "data_col"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 118,
   "id": "275b29dc",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[1],\n",
       "       [2],\n",
       "       [3],\n",
       "       [4],\n",
       "       [5],\n",
       "       [6]])"
      ]
     },
     "execution_count": 118,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data_col = data_col.T\n",
    "data_col"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 119,
   "id": "18fc7e12",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[1, 2, 3],\n",
       "       [4, 5, 6]])"
      ]
     },
     "execution_count": 119,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data_col.reshape(2,3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 120,
   "id": "a5d68c04",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[1, 2],\n",
       "       [3, 4],\n",
       "       [5, 6]])"
      ]
     },
     "execution_count": 120,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data_col.reshape(3,2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 121,
   "id": "34cd5d70",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0, 1, 2, 3, 4, 5])"
      ]
     },
     "execution_count": 121,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.arange(6)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 122,
   "id": "c93c3ee6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[0, 1, 2],\n",
       "       [3, 4, 5]])"
      ]
     },
     "execution_count": 122,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "arr = np.arange(6).reshape((2,3))\n",
    "arr"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "699e1f13",
   "metadata": {},
   "source": [
    "# N-Dimensional Array"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 123,
   "id": "546c245e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[[1, 2],\n",
       "        [3, 4]],\n",
       "\n",
       "       [[5, 6],\n",
       "        [7, 8]]])"
      ]
     },
     "execution_count": 123,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ndarr = np.array([[[1,2],[3,4]],[[5,6],[7,8]]])\n",
    "ndarr"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 124,
   "id": "c835cda1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(2, 2, 2)"
      ]
     },
     "execution_count": 124,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ndarr.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 125,
   "id": "7e7b11dd",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[[1., 1.],\n",
       "        [1., 1.],\n",
       "        [1., 1.]],\n",
       "\n",
       "       [[1., 1.],\n",
       "        [1., 1.],\n",
       "        [1., 1.]],\n",
       "\n",
       "       [[1., 1.],\n",
       "        [1., 1.],\n",
       "        [1., 1.]],\n",
       "\n",
       "       [[1., 1.],\n",
       "        [1., 1.],\n",
       "        [1., 1.]]])"
      ]
     },
     "execution_count": 125,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.ones((4,3,2))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 126,
   "id": "cb45218b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[[0., 0.],\n",
       "        [0., 0.],\n",
       "        [0., 0.]],\n",
       "\n",
       "       [[0., 0.],\n",
       "        [0., 0.],\n",
       "        [0., 0.]],\n",
       "\n",
       "       [[0., 0.],\n",
       "        [0., 0.],\n",
       "        [0., 0.]],\n",
       "\n",
       "       [[0., 0.],\n",
       "        [0., 0.],\n",
       "        [0., 0.]]])"
      ]
     },
     "execution_count": 126,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.zeros((4,3,2))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 127,
   "id": "3609b56d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[[0.39037196, 0.36411158],\n",
       "        [0.31001731, 0.98471118],\n",
       "        [0.14212124, 0.59471353]],\n",
       "\n",
       "       [[0.33993404, 0.11623566],\n",
       "        [0.3755148 , 0.99600214],\n",
       "        [0.89377844, 0.39297894]],\n",
       "\n",
       "       [[0.20096047, 0.76004632],\n",
       "        [0.64344898, 0.62755966],\n",
       "        [0.48788937, 0.93277125]],\n",
       "\n",
       "       [[0.10787465, 0.57987156],\n",
       "        [0.11153989, 0.60978384],\n",
       "        [0.71029516, 0.43496574]]])"
      ]
     },
     "execution_count": 127,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.random.random((4,3,2))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4b7b5011",
   "metadata": {},
   "source": [
    "# Flatten N-Dimensional Array"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 128,
   "id": "c4a2d08b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 1,  2,  3,  4],\n",
       "       [ 5,  6,  7,  8],\n",
       "       [ 9, 10, 11, 12]])"
      ]
     },
     "execution_count": 128,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "arrflat = np.array([[1,2,3,4],[5,6,7,8],[9,10,11,12]])\n",
    "arrflat"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 129,
   "id": "51308764",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 1,  2,  3,  4,  5,  6,  7,  8,  9, 10, 11, 12])"
      ]
     },
     "execution_count": 129,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "arrflat.flatten()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 130,
   "id": "ada196a2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 1,  2,  3,  4,  5,  6,  7,  8,  9, 10, 11, 12])"
      ]
     },
     "execution_count": 130,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "arrflat.ravel()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 131,
   "id": "832ed0a6",
   "metadata": {},
   "outputs": [],
   "source": [
    "# error = (1/n) * np.sum(np.square(observed - prediction))"
   ]
  }
 ],
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