Update code

code/online-part-1/Linear Algebra Assignment 3.ipynb

@@ -45,7 +45,9 @@
    "outputs": [],
    "source": [
     "# Linienzug plotten\n",
-    "# plt.plot(...)\n"
+    "plt.figure()\n",
+    "plt.plot(n[0], n[1])\n",
+    "plt.show()\n"
    ]
   },
   {
@@ -73,11 +75,14 @@
    "source": [
     "# angle soll in Grad angegeben werden\n",
     "def rotation_matrix(angle):\n",
-    "    pass\n",
+    "    theta = np.deg2rad(angle)\n",
+    "    c = np.cos(theta)\n",
+    "    s = np.sin(theta)\n",
+    "    return np.array([[c, -s], [s, c]])\n",
     "\n",
     "# mögliche Tests\n",
-    "# assert(np.allclose(rotation_matrix(90).dot(np.array([1,0])), np.array([0,1])))\n",
-    "# assert(np.allclose(rotation_matrix(-90).dot(np.array([1,0])), np.array([0,-1])))"
+    "assert np.allclose(rotation_matrix(90).dot(np.array([1,0])), np.array([0,1]))\n",
+    "assert np.allclose(rotation_matrix(-90).dot(np.array([1,0])), np.array([0,-1]))\n"
    ]
   },
   {
@@ -94,9 +99,11 @@
    "outputs": [],
    "source": [
     "# n_rot soll die rotierten Punkte enthalten, n_rot.shape == n.shape\n",
-    "n_rot = ...\n",
+    "n_rot = rotation_matrix(60).dot(n)\n",
     "\n",
-    "# und erneut plotten..."
+    "plt.figure()\n",
+    "plt.plot(n_rot[0], n_rot[1])\n",
+    "plt.show()\n"
    ]
   },
   {
@@ -123,10 +130,9 @@
    "outputs": [],
    "source": [
     "def scale_matrix(sx, sy):\n",
-    "    pass\n",
+    "    return np.array([[sx, 0], [0, sy]])\n",
     "\n",
-    "\n",
-    "# todo test schreiben?"
+    "assert np.allclose(scale_matrix(2, 3).dot(np.array([1,1])), np.array([2,3]))\n"
    ]
   },
   {
@@ -142,12 +148,12 @@
    "metadata": {},
    "outputs": [],
    "source": [
-    "# Punkte skalieren\n",
-    "\n",
-    "\n",
-    "\n",
-    "# und plotten\n",
-    "\n"
+    "scaled = scale_matrix(2, 0.5).dot(n)\n",
+    "plt.figure()\n",
+    "plt.plot(n[0], n[1], label=\"original\")\n",
+    "plt.plot(scaled[0], scaled[1], label=\"scaled\")\n",
+    "plt.legend()\n",
+    "plt.show()\n"
    ]
   }
  ],

code/online-part-1/Roboterfahrt Aufgabe 1.ipynb

@@ -2,7 +2,7 @@
  "cells": [
   {
    "cell_type": "code",
-   "execution_count": 2,
+   "execution_count": 1,
    "id": "00d20df1",
    "metadata": {},
    "outputs": [],
@@ -108,7 +108,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 21,
+   "execution_count": null,
    "id": "6ee1ca50",
    "metadata": {},
    "outputs": [
@@ -121,8 +121,8 @@
     }
    ],
    "source": [
-    "lenght = sum([np.linalg.norm(f) for f in fahrten])\n",
-    "print(\"Länge der Fahrt:\", lenght)"
+    "length = sum([np.linalg.norm(f) for f in fahrten])\n",
+    "print(\"Länge der Fahrt:\", length)"
    ]
   },
   {