Initial file

Wrzodak_Koszarek_Zadania.ipynb

@@ -0,0 +1,86 @@
+{
+ "cells": [
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "Zadanie 4.6"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "import numpy as np\n",
+    "from sympy import symbols, Matrix\n",
+    "from numpy.linalg import eig\n",
+    "\n",
+    "A=np.matrix(QQ,5,3,[2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 31])\n",
+    "print(A.transpose()*A)\n",
+    "print((A.transpose()*A)^(-1))\n",
+    "mm=(A.transpose()*A)^(-1)\n",
+    "mm=(A.transpose()*A)^(-1)*A.transpose()\n",
+    "print(mm)\n",
+    "\n",
+    "b1=np.vector([-1,0,1,0,1])\n",
+    "mm1=mm*b1\n",
+    "print(mm1)\n",
+    "print((b1-A*mm1))\n",
+    "b2=np.vector([1,1,1,1,1])\n",
+    "mm2=mm*b2\n",
+    "print(mm2)\n",
+    "print((b2-A*mm2))\n",
+    "\n",
+    "b2 in (m.transpose()).image()"
+   ]
+  },
+  {
+   "attachments": {},
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "Zadanie 4.7"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
+   "source": []
+  },
+  {
+   "attachments": {},
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "Zadanie 4.9"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
+   "source": []
+  }
+ ],
+ "metadata": {
+  "kernelspec": {
+   "display_name": "base",
+   "language": "python",
+   "name": "python3"
+  },
+  "language_info": {
+   "name": "python",
+   "version": "3.10.9"
+  },
+  "orig_nbformat": 4
+ },
+ "nbformat": 4,
+ "nbformat_minor": 2
+}