From c14db6430a4c23507ee45e87e5681c3d4bb7caee Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?Pawe=C5=82=20Sk=C3=B3rzewski?= <pms@amu.edu.pl>
Date: Thu, 3 Mar 2022 11:16:35 +0100
Subject: [PATCH] =?UTF-8?q?Aktualizacja=20materia=C5=82=C3=B3w=20o=20Pytho?=
 =?UTF-8?q?nie?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

---
 lab/01_Python.ipynb | 383 +++++++++++++++++---------------------------
 1 file changed, 150 insertions(+), 233 deletions(-)

diff --git a/lab/01_Python.ipynb b/lab/01_Python.ipynb
index 4ca5a6d..98bffb7 100644
--- a/lab/01_Python.ipynb
+++ b/lab/01_Python.ipynb
@@ -22,7 +22,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 52,
+   "execution_count": 24,
    "metadata": {},
    "outputs": [
     {
@@ -43,7 +43,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 53,
+   "execution_count": 25,
    "metadata": {},
    "outputs": [
     {
@@ -68,7 +68,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 54,
+   "execution_count": 26,
    "metadata": {},
    "outputs": [
     {
@@ -90,7 +90,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 55,
+   "execution_count": 27,
    "metadata": {},
    "outputs": [
     {
@@ -108,7 +108,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 56,
+   "execution_count": 28,
    "metadata": {},
    "outputs": [
     {
@@ -117,7 +117,7 @@
        "[1, 2, 3, 4, 5, 6, 7, 8, 9, 10]"
       ]
      },
-     "execution_count": 56,
+     "execution_count": 28,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -128,7 +128,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 57,
+   "execution_count": 29,
    "metadata": {
     "scrolled": true
    },
@@ -148,7 +148,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 58,
+   "execution_count": 30,
    "metadata": {},
    "outputs": [
     {
@@ -166,7 +166,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 59,
+   "execution_count": 31,
    "metadata": {},
    "outputs": [
     {
@@ -187,7 +187,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 60,
+   "execution_count": 32,
    "metadata": {},
    "outputs": [
     {
@@ -205,7 +205,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 61,
+   "execution_count": 33,
    "metadata": {},
    "outputs": [
     {
@@ -235,7 +235,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 62,
+   "execution_count": 34,
    "metadata": {},
    "outputs": [
     {
@@ -262,7 +262,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 63,
+   "execution_count": 35,
    "metadata": {},
    "outputs": [
     {
@@ -296,7 +296,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 64,
+   "execution_count": 36,
    "metadata": {},
    "outputs": [
     {
@@ -323,7 +323,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 65,
+   "execution_count": 37,
    "metadata": {},
    "outputs": [
     {
@@ -352,7 +352,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 66,
+   "execution_count": 38,
    "metadata": {},
    "outputs": [
     {
@@ -382,7 +382,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 67,
+   "execution_count": 39,
    "metadata": {},
    "outputs": [
     {
@@ -428,7 +428,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 68,
+   "execution_count": 40,
    "metadata": {},
    "outputs": [
     {
@@ -451,7 +451,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 69,
+   "execution_count": 41,
    "metadata": {},
    "outputs": [
     {
@@ -473,7 +473,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 70,
+   "execution_count": 42,
    "metadata": {},
    "outputs": [
     {
@@ -494,7 +494,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 71,
+   "execution_count": 43,
    "metadata": {},
    "outputs": [
     {
@@ -511,7 +511,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 72,
+   "execution_count": 44,
    "metadata": {},
    "outputs": [
     {
@@ -526,9 +526,35 @@
     "print(y.shape)"
    ]
   },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "Korzystając z funkcji `shape`, można znaleźć liczbę wierszy i kolumn macierzy:"
+   ]
+  },
   {
    "cell_type": "code",
-   "execution_count": 73,
+   "execution_count": 45,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Liczba kolumn:  2\n",
+      "Liczba wierszy:  5\n"
+     ]
+    }
+   ],
+   "source": [
+    "print(\"Liczba kolumn: \", y.shape[0])\n",
+    "print(\"Liczba wierszy: \", y.shape[1])"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
    "metadata": {},
    "outputs": [
     {
@@ -550,7 +576,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 74,
+   "execution_count": null,
    "metadata": {},
    "outputs": [
     {
@@ -567,7 +593,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 75,
+   "execution_count": null,
    "metadata": {},
    "outputs": [
     {
@@ -593,7 +619,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 76,
+   "execution_count": null,
    "metadata": {},
    "outputs": [
     {
@@ -620,7 +646,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 77,
+   "execution_count": null,
    "metadata": {},
    "outputs": [
     {
@@ -641,7 +667,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 78,
+   "execution_count": null,
    "metadata": {},
    "outputs": [
     {
@@ -653,12 +679,21 @@
     }
    ],
    "source": [
-    "print(z.sum(axis=1))"
+    "print(z.sum(axis=1))  # suma według wierszy"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 79,
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "print(z.sum(axis=0))  # suma według kolumn"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
    "metadata": {},
    "outputs": [
     {
@@ -679,7 +714,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 80,
+   "execution_count": null,
    "metadata": {},
    "outputs": [
     {
@@ -698,7 +733,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 81,
+   "execution_count": null,
    "metadata": {},
    "outputs": [
     {
@@ -719,7 +754,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 82,
+   "execution_count": null,
    "metadata": {},
    "outputs": [
     {
@@ -737,7 +772,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 83,
+   "execution_count": null,
    "metadata": {},
    "outputs": [
     {
@@ -752,12 +787,12 @@
     }
    ],
    "source": [
-    "x.sum(axis=0)"
+    "x.sum(axis=0)  # suma "
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 84,
+   "execution_count": null,
    "metadata": {},
    "outputs": [
     {
@@ -784,7 +819,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 85,
+   "execution_count": null,
    "metadata": {},
    "outputs": [
     {
@@ -804,7 +839,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 86,
+   "execution_count": null,
    "metadata": {},
    "outputs": [
     {
@@ -824,7 +859,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 87,
+   "execution_count": null,
    "metadata": {},
    "outputs": [
     {
@@ -860,7 +895,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 88,
+   "execution_count": null,
    "metadata": {
     "scrolled": true
    },
@@ -892,7 +927,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 89,
+   "execution_count": null,
    "metadata": {},
    "outputs": [
     {
@@ -918,7 +953,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 90,
+   "execution_count": null,
    "metadata": {},
    "outputs": [
     {
@@ -979,7 +1014,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 91,
+   "execution_count": null,
    "metadata": {},
    "outputs": [
     {
@@ -1012,7 +1047,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 92,
+   "execution_count": null,
    "metadata": {},
    "outputs": [
     {
@@ -1032,7 +1067,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 93,
+   "execution_count": null,
    "metadata": {},
    "outputs": [
     {
@@ -1052,7 +1087,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 94,
+   "execution_count": null,
    "metadata": {},
    "outputs": [
     {
@@ -1071,7 +1106,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 95,
+   "execution_count": null,
    "metadata": {},
    "outputs": [
     {
@@ -1092,7 +1127,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 96,
+   "execution_count": null,
    "metadata": {},
    "outputs": [
     {
@@ -1113,7 +1148,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 97,
+   "execution_count": null,
    "metadata": {},
    "outputs": [
     {
@@ -1133,7 +1168,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 98,
+   "execution_count": null,
    "metadata": {},
    "outputs": [
     {
@@ -1152,7 +1187,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 99,
+   "execution_count": null,
    "metadata": {},
    "outputs": [
     {
@@ -1173,7 +1208,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 100,
+   "execution_count": null,
    "metadata": {
     "scrolled": true
    },
@@ -1192,7 +1227,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 101,
+   "execution_count": null,
    "metadata": {},
    "outputs": [
     {
@@ -1213,7 +1248,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 102,
+   "execution_count": null,
    "metadata": {},
    "outputs": [
     {
@@ -1234,7 +1269,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 103,
+   "execution_count": null,
    "metadata": {},
    "outputs": [
     {
@@ -1269,7 +1304,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 104,
+   "execution_count": null,
    "metadata": {},
    "outputs": [
     {
@@ -1290,7 +1325,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 105,
+   "execution_count": null,
    "metadata": {},
    "outputs": [
     {
@@ -1308,7 +1343,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 106,
+   "execution_count": null,
    "metadata": {},
    "outputs": [
     {
@@ -1326,7 +1361,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 107,
+   "execution_count": null,
    "metadata": {},
    "outputs": [
     {
@@ -1344,7 +1379,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 108,
+   "execution_count": null,
    "metadata": {},
    "outputs": [
     {
@@ -1362,7 +1397,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 109,
+   "execution_count": null,
    "metadata": {},
    "outputs": [
     {
@@ -1383,7 +1418,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 110,
+   "execution_count": null,
    "metadata": {
     "scrolled": true
    },
@@ -1428,7 +1463,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 111,
+   "execution_count": null,
    "metadata": {},
    "outputs": [
     {
@@ -1449,7 +1484,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 112,
+   "execution_count": null,
    "metadata": {},
    "outputs": [
     {
@@ -1477,7 +1512,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 113,
+   "execution_count": null,
    "metadata": {},
    "outputs": [
     {
@@ -1496,7 +1531,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 114,
+   "execution_count": null,
    "metadata": {},
    "outputs": [
     {
@@ -1515,7 +1550,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 115,
+   "execution_count": null,
    "metadata": {},
    "outputs": [
     {
@@ -1536,7 +1571,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 116,
+   "execution_count": null,
    "metadata": {},
    "outputs": [
     {
@@ -1564,7 +1599,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 117,
+   "execution_count": null,
    "metadata": {},
    "outputs": [
     {
@@ -1587,7 +1622,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 118,
+   "execution_count": null,
    "metadata": {},
    "outputs": [
     {
@@ -1609,7 +1644,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 119,
+   "execution_count": null,
    "metadata": {},
    "outputs": [
     {
@@ -1637,7 +1672,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 120,
+   "execution_count": null,
    "metadata": {},
    "outputs": [
     {
@@ -1660,7 +1695,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 121,
+   "execution_count": null,
    "metadata": {},
    "outputs": [
     {
@@ -1689,7 +1724,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 122,
+   "execution_count": null,
    "metadata": {},
    "outputs": [
     {
@@ -1710,7 +1745,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 123,
+   "execution_count": null,
    "metadata": {},
    "outputs": [
     {
@@ -1730,7 +1765,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 124,
+   "execution_count": null,
    "metadata": {},
    "outputs": [
     {
@@ -1750,7 +1785,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 125,
+   "execution_count": null,
    "metadata": {},
    "outputs": [
     {
@@ -1770,7 +1805,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 126,
+   "execution_count": null,
    "metadata": {},
    "outputs": [
     {
@@ -1805,7 +1840,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 127,
+   "execution_count": null,
    "metadata": {},
    "outputs": [
     {
@@ -1826,7 +1861,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 128,
+   "execution_count": null,
    "metadata": {},
    "outputs": [
     {
@@ -1846,7 +1881,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 130,
+   "execution_count": null,
    "metadata": {},
    "outputs": [
     {
@@ -1873,7 +1908,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 131,
+   "execution_count": null,
    "metadata": {},
    "outputs": [
     {
@@ -1896,7 +1931,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 133,
+   "execution_count": null,
    "metadata": {},
    "outputs": [
     {
@@ -1916,7 +1951,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 134,
+   "execution_count": null,
    "metadata": {},
    "outputs": [
     {
@@ -1936,7 +1971,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 135,
+   "execution_count": null,
    "metadata": {},
    "outputs": [
     {
@@ -1956,7 +1991,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 136,
+   "execution_count": null,
    "metadata": {},
    "outputs": [
     {
@@ -1991,7 +2026,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 138,
+   "execution_count": null,
    "metadata": {},
    "outputs": [
     {
@@ -2012,7 +2047,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 139,
+   "execution_count": null,
    "metadata": {},
    "outputs": [
     {
@@ -2032,7 +2067,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 141,
+   "execution_count": null,
    "metadata": {},
    "outputs": [
     {
@@ -2052,7 +2087,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 142,
+   "execution_count": null,
    "metadata": {},
    "outputs": [
     {
@@ -2072,7 +2107,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 143,
+   "execution_count": null,
    "metadata": {},
    "outputs": [
     {
@@ -2099,7 +2134,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 145,
+   "execution_count": null,
    "metadata": {},
    "outputs": [
     {
@@ -2119,7 +2154,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 146,
+   "execution_count": null,
    "metadata": {},
    "outputs": [
     {
@@ -2149,7 +2184,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 147,
+   "execution_count": null,
    "metadata": {},
    "outputs": [
     {
@@ -2186,7 +2221,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 148,
+   "execution_count": null,
    "metadata": {},
    "outputs": [
     {
@@ -2206,7 +2241,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 149,
+   "execution_count": null,
    "metadata": {},
    "outputs": [
     {
@@ -2226,7 +2261,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 150,
+   "execution_count": null,
    "metadata": {},
    "outputs": [
     {
@@ -2280,7 +2315,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 172,
+   "execution_count": null,
    "metadata": {},
    "outputs": [
     {
@@ -2300,7 +2335,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 173,
+   "execution_count": null,
    "metadata": {},
    "outputs": [
     {
@@ -2319,7 +2354,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 151,
+   "execution_count": null,
    "metadata": {},
    "outputs": [
     {
@@ -2342,7 +2377,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 152,
+   "execution_count": null,
    "metadata": {},
    "outputs": [
     {
@@ -2377,7 +2412,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 153,
+   "execution_count": null,
    "metadata": {},
    "outputs": [
     {
@@ -2412,7 +2447,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 154,
+   "execution_count": null,
    "metadata": {},
    "outputs": [
     {
@@ -2440,7 +2475,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 158,
+   "execution_count": null,
    "metadata": {},
    "outputs": [
     {
@@ -2460,7 +2495,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 159,
+   "execution_count": null,
    "metadata": {},
    "outputs": [
     {
@@ -2480,7 +2515,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 160,
+   "execution_count": null,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -2490,7 +2525,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 161,
+   "execution_count": null,
    "metadata": {},
    "outputs": [
     {
@@ -2509,7 +2544,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 162,
+   "execution_count": null,
    "metadata": {
     "scrolled": true
    },
@@ -2530,7 +2565,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 164,
+   "execution_count": null,
    "metadata": {},
    "outputs": [
     {
@@ -2556,7 +2591,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 165,
+   "execution_count": null,
    "metadata": {},
    "outputs": [
     {
@@ -2584,7 +2619,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 166,
+   "execution_count": null,
    "metadata": {},
    "outputs": [
     {
@@ -2606,7 +2641,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 167,
+   "execution_count": null,
    "metadata": {},
    "outputs": [
     {
@@ -2628,7 +2663,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 168,
+   "execution_count": null,
    "metadata": {},
    "outputs": [
     {
@@ -2663,7 +2698,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 169,
+   "execution_count": null,
    "metadata": {},
    "outputs": [
     {
@@ -2686,7 +2721,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 170,
+   "execution_count": null,
    "metadata": {},
    "outputs": [
     {
@@ -2705,124 +2740,6 @@
     "print(w)  # wartości własne\n",
     "print(v)  # wektory własne"
    ]
-  },
-  {
-   "cell_type": "markdown",
-   "metadata": {},
-   "source": [
-    "# Zadania"
-   ]
-  },
-  {
-   "cell_type": "markdown",
-   "metadata": {},
-   "source": [
-    "### Zadanie 1.1 (1 pkt)\n",
-    "\n",
-    "Dla danej listy `input_list` zawierającej liczby utwórz nową listę `output_list`, która będzie zawierała kwadraty liczb dodatnich z `input_list`. Użyj _list comprehension_!"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": null,
-   "metadata": {},
-   "outputs": [],
-   "source": [
-    "# Przykładowe dane\n",
-    "\n",
-    "input_list = [34.6, -203.4, 44.9, 68.3, -12.2, 44.6, 12.7]"
-   ]
-  },
-  {
-   "cell_type": "markdown",
-   "metadata": {},
-   "source": [
-    "### Zadanie 1.2 (1 pkt)\n",
-    "\n",
-    "Za pomocą jednowierszowego polecenia utwórz następującą macierz jako obiekt typu `array`:\n",
-    "$$A = \\begin{pmatrix}\n",
-    "1       & 2      & \\cdots & 10      \\\\\n",
-    "11      & 12     & \\cdots & 20      \\\\\n",
-    "\\vdots  & \\ddots & \\ddots & \\vdots  \\\\\n",
-    "41      & 42     & \\cdots & 50 \n",
-    "\\end{pmatrix}$$"
-   ]
-  },
-  {
-   "cell_type": "markdown",
-   "metadata": {},
-   "source": [
-    "### Zadanie 1.3 (1 pkt)\n",
-    "\n",
-    "Dla macierzy $A$ z zadania 1.2:\n",
-    " * określ liczbę elementów, kolumn i wierszy,\n",
-    " * stwórz wektory średnich po wierszach oraz po kolumnach,\n",
-    " * wypisz jej trzecią kolumnę,\n",
-    " * wypisz jej czwarty wiersz.\n",
-    " \n",
-    "Użyj odpowiednich metod obiektu `array`."
-   ]
-  },
-  {
-   "cell_type": "markdown",
-   "metadata": {},
-   "source": [
-    "### Zadanie 1.4 (1 pkt)\n",
-    "\n",
-    "Utwórz macierze\n",
-    "$$ A = \\begin{pmatrix}\n",
-    "0 & 4 & -2 \\\\\n",
-    "-4 & -3 & 0\n",
-    "\\end{pmatrix} $$\n",
-    "$$ B = \\begin{pmatrix}\n",
-    "0 & 1 \\\\\n",
-    "1 & -1 \\\\\n",
-    "2 & 3\n",
-    "\\end{pmatrix} $$\n",
-    "oraz wektor\n",
-    "$$ x = \\begin{pmatrix}\n",
-    "2 \\\\\n",
-    "1 \\\\\n",
-    "0\n",
-    "\\end{pmatrix} $$\n",
-    "\n",
-    "Oblicz:\n",
-    " * iloczyn macierzy $A$ z wektorem $x$ \n",
-    " * iloczyn macierzy $A \\cdot B$\n",
-    " * wyznacznik $\\det(A \\cdot B)$\n",
-    " * wynik działania $(A \\cdot B)^\\top - B^\\top \\cdot A^\\top$"
-   ]
-  },
-  {
-   "cell_type": "markdown",
-   "metadata": {},
-   "source": [
-    "### Zadanie 1.5 (1 pkt)\n",
-    "\n",
-    "Czym różni się operacja `A**-1` dla obiektów typu `array` i `matrix`? Pokaż na przykładzie."
-   ]
-  },
-  {
-   "cell_type": "markdown",
-   "metadata": {},
-   "source": [
-    "### Zadanie 1.6 (1 pkt)\n",
-    "\n",
-    "Dla macierzy $X = \\left[\n",
-    "      \\begin{array}{rrr}\n",
-    "        1 & 2 & 3\\\\\n",
-    "        1 & 3 & 6 \\\\\n",
-    "      \\end{array}\n",
-    "    \\right]$ oraz wektora $y = \\left[\n",
-    "      \\begin{array}{r}\n",
-    "        5 \\\\\n",
-    "        6 \\\\\n",
-    "      \\end{array}\n",
-    "    \\right]$ oblicz wynikowy wektor: \n",
-    "$$ \\theta = (X^\\top \\, X)^{-1} \\, X^\\top \\, y \\, . $$\n",
-    "Wykonaj te same obliczenia raz na obiektach typu `array`, a raz na obiektach typu `matrix`.\n",
-    "W przypadku obiektów typu `matrix` zastosuj możliwie krótki zapis. "
-   ]
   }
  ],
  "metadata": {