added_file_matrix_multiplication

matrix_multiplication.ipynb

@@ -0,0 +1,78 @@
+{
+ "cells": [
+  {
+   "cell_type": "code",
+   "execution_count": 38,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "import numpy as np"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 39,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "## defined for only square matrices\n",
+    "\n",
+    "def matrix_multiplication(small_array,large_array):\n",
+    "    mat=np.zeros([large_array.shape[0]-small_array.shape[0]+1,large_array.shape[1]-small_array.shape[1]+1])\n",
+    "    for ix in range(large_array.shape[1]-small_array.shape[1]+1):\n",
+    "        for jx in range(large_array.shape[0]-small_array.shape[0]+1):\n",
+    "            split=large_array[ix:ix+small_array.shape[0],jx:jx+small_array.shape[1]]\n",
+    "            mat[ix,jx]=np.sum(small_array*split)\n",
+    "    return mat"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 40,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "[[318. 360.]\n",
+      " [486. 528.]]\n"
+     ]
+    }
+   ],
+   "source": [
+    "large_array=np.array([[1,2,3,4],[5,6,7,8],[9,10,11,12],[13,14,15,16]])\n",
+    "small_array=np.array([[1,2,3],[4,5,6],[6,7,8]])\n",
+    "print matrix_multiplication(small_array,large_array)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
+   "source": []
+  }
+ ],
+ "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": "2.7.12"
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 2
+}