From 66c3bbfa94d8a41e58adf154be25e6d86fee8e30 Mon Sep 17 00:00:00 2001
From: "martial.simon" <martial.simon@epita.fr>
Date: Sun, 13 Apr 2025 19:54:19 +0200
Subject: init: initial commit

---
 PVCM/Rappels matrices.md | 67 ++++++++++++++++++++++++++++++++++++++++++++++++
 1 file changed, 67 insertions(+)
 create mode 100755 PVCM/Rappels matrices.md

(limited to 'PVCM/Rappels matrices.md')

diff --git a/PVCM/Rappels matrices.md b/PVCM/Rappels matrices.md
new file mode 100755
index 0000000..5775637
--- /dev/null
+++ b/PVCM/Rappels matrices.md	
@@ -0,0 +1,67 @@
+# Question 1
+
+$$
+A = \begin{pmatrix}
+1 & 0 & 2 \\
+2 & -1 & 1 \\
+0 & -2 & 1
+\end{pmatrix} = (A_{ij})
+;\;
+b = \begin{pmatrix}
+-1 \\
+0 \\
+2
+\end{pmatrix}
+$$
+$$
+X = Ab = \begin{pmatrix}
+1 & 0 & 2 \\
+2 & -1 &1 \\
+0 & -2 & 1
+\end{pmatrix}
+\begin{pmatrix}
+-1 \\
+0 \\
+2
+\end{pmatrix}
+= \begin{pmatrix}
+3 \\
+0 \\
+2
+\end{pmatrix}
+$$
+$$
+\begin{pmatrix}
+3 & 1 & 2 \\
+1 & 4 & 3 \\
+0 & 0 & 1
+\end{pmatrix}
+\begin{pmatrix}
+-2 \\
+0 \\
+2
+\end{pmatrix}
+= \begin{pmatrix}
+-2 \\
+4 \\
+2
+\end{pmatrix}
+$$
+# Question 2
+### Matrice de rotation
+
+$$
+R = \begin{pmatrix}
+\cos \theta & -\sin \theta \\
+\sin \theta & \cos \theta
+\end{pmatrix}
+$$
+### Matrice orthogonale
+
+$$A^TA = Id$$
+0
+
+### Matrice de passage
+
+
+Stage ds secteur + large que annonce
\ No newline at end of file
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