{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "da1135f1",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "\n",
    "arr = np.array([4.,7.,2.,6.]).reshape(2,2)\n",
    "mat = np.matrix(arr)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0108e1d6",
   "metadata": {},
   "source": [
    "Macierze "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "19ba64f7",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[4. 7.]\n",
      " [2. 6.]]\n",
      "[[4. 7.]\n",
      " [2. 6.]]\n"
     ]
    }
   ],
   "source": [
    "# obiekty array i matrix wyświetlają się tak samo\n",
    "\n",
    "print(arr)\n",
    "print(mat)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "id": "3f697dfd",
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[0.25       0.14285714]\n",
      " [0.5        0.16666667]]\n",
      "[[ 0.6 -0.7]\n",
      " [-0.2  0.4]]\n"
     ]
    }
   ],
   "source": [
    "# jednak dla działania **-1 wynik wychodzi zupełnie inny\n",
    "# dla obiektu array działanie **-1 powoduję odwrócenie każdej liczby w tablicy\n",
    "# dla obiektu matrix działanie **-1 powoduję odwrócenie całej macierzy tak że 'mat * mat^-1 = 1'\n",
    "\n",
    "print(arr**-1)\n",
    "print(mat**-1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "id": "ea293b68",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[ 0.6 -0.7]\n",
      " [-0.2  0.4]]\n",
      "[[ 0.6 -0.7]\n",
      " [-0.2  0.4]]\n"
     ]
    }
   ],
   "source": [
    "print(mat**-1)\n",
    "print(np.linalg.inv(mat))"
   ]
  }
 ],
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  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
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    "name": "ipython",
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