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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
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