cours/.trash/Untitled 1 29.md
Oscar Plaisant d0bc4b6f5b update
2025-04-25 10:47:44 +02:00

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$$
\begin{pmatrix} a & c \\ b & d\end{pmatrix}
\begin{pmatrix}1\\0\end{pmatrix}
=
\begin{pmatrix}1 \\ 0\end{pmatrix}
\iff
\begin{pmatrix}a\\b\end{pmatrix} = \begin{pmatrix}1\\0\end{pmatrix}
$$
$$
\begin{pmatrix} a & c \\ b & d\end{pmatrix}
\begin{pmatrix}0\\1\end{pmatrix}
=
\begin{pmatrix}1 \\ 1\end{pmatrix}
\iff
\begin{pmatrix}c\\ d\end{pmatrix} = \begin{pmatrix}1\\ 1\end{pmatrix}
$$
$P = \begin{pmatrix}1 & 1 \\ 0 & 1\end{pmatrix}$