From ddf8e3ce17d8178cbadad9ad119a22ea2c4a11cd Mon Sep 17 00:00:00 2001
From: Daniel Falbo <39460524+danielfalbo@users.noreply.github.com>
Date: Mon, 8 Apr 2024 15:04:18 +0200
Subject: [PATCH] Add interactive block of code from slide

also adds claryfing comment and prints the output in degrees rather than radians to match the slides context
---
 .../03_math_recap_eig_pca_3dmm.ipynb          | 29 ++++++++++++++++---
 1 file changed, 25 insertions(+), 4 deletions(-)

diff --git a/AA2324/course/03_math_recap_eig_pca_3dmm/03_math_recap_eig_pca_3dmm.ipynb b/AA2324/course/03_math_recap_eig_pca_3dmm/03_math_recap_eig_pca_3dmm.ipynb
index 3a8d450..6d30bc7 100644
--- a/AA2324/course/03_math_recap_eig_pca_3dmm/03_math_recap_eig_pca_3dmm.ipynb
+++ b/AA2324/course/03_math_recap_eig_pca_3dmm/03_math_recap_eig_pca_3dmm.ipynb
@@ -34,7 +34,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 1,
+   "execution_count": 2,
    "metadata": {
     "slideshow": {
      "slide_type": "skip"
@@ -240,14 +240,35 @@
     "The angle between $[1, 0]$ and $[0, 1]$ is 90.\n",
     "\n",
     "```python\n",
-    "is_basis = False\n",
+    "is_basis = False # toggle this to compare the angles\n",
     "X = np.array([[1, 0], [0, 1]]) if is_basis else np.array([[1, -1], [2, 3]])\n",
     "theta_rad = angle(*X)\n",
     "theta = theta_rad*180/np.pi\n",
-    "print(theta_rad)\n",
+    "print(theta)\n",
     "```"
    ]
   },
+  {
+   "cell_type": "code",
+   "execution_count": 6,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "101.30993247402021\n"
+     ]
+    }
+   ],
+   "source": [
+    "is_basis = False # toggle this to compare the angles\n",
+    "X = np.array([[1, 0], [0, 1]]) if is_basis else np.array([[1, -1], [2, 3]])\n",
+    "theta_rad = angle(*X)\n",
+    "theta = theta_rad*180/np.pi\n",
+    "print(theta)"
+   ]
+  },
   {
    "cell_type": "markdown",
    "metadata": {
@@ -3357,7 +3378,7 @@
    "name": "python",
    "nbconvert_exporter": "python",
    "pygments_lexer": "ipython3",
-   "version": "3.8.13"
+   "version": "3.12.2"
   },
   "latex_envs": {
    "LaTeX_envs_menu_present": true,