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Commit 13fb2c3b authored by Claude Meny's avatar Claude Meny
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Update cheatsheet.fr.md

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    12.temporary_ins/04-math-tools/70.systems-of-differential-equations/40.parallel-1/cheatsheet.fr.md
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    ...@@ -71,13 +71,13 @@ $`M`$ est diagonale : ...@@ -71,13 +71,13 @@ $`M`$ est diagonale :
    $`M = \begin{pmatrix} \lambda_1 & 0 & 0 \\ 0 & \ddots & 0 \\ 0 & 0 & \lambda_m \\ \end{pmatrix}`$ $`M = \begin{pmatrix} \lambda_1 & 0 & 0 \\ 0 & \ddots & 0 \\ 0 & 0 & \lambda_m \\ \end{pmatrix}`$
    $`\begin{align} e^{\,M} = & \sum_{n=0}^{+\infty}\dfrac{M^n}{n!} \\ $`\begin{align} e^{\,M} = & \sum_{n=0}^{+\infty}\dfrac{M^n}{n!} \\
    \\ & \\
    \begin{pmatrix} 1 & 0 & 0 \\ 0 & \ddots & 0 \\ 0 & 0 & 1 \\ \end{pmatrix} + & \begin{pmatrix} 1 & 0 & 0 \\ 0 & \ddots & 0 \\ 0 & 0 & 1 \\ \end{pmatrix} +
    \begin{pmatrix} \lambda_1 & 0 & 0 \\ 0 & \ddots & 0 \\ 0 & 0 & \lambda_m \\ \end{pmatrix} + \cdots \\ \begin{pmatrix} \lambda_1 & 0 & 0 \\ 0 & \ddots & 0 \\ 0 & 0 & \lambda_m \\ \end{pmatrix} + \cdots \\
    & \\ & \\
    & \cdot +\dfrac{1}{2!}\begin{pmatrix} \lambda_1 & 0 & 0 \\ 0 & \ddots & 0 \\ 0 & 0 & \lambda_m \\ \end{pmatrix}^2 & \cdot +\dfrac{1}{2!}\begin{pmatrix} \lambda_1 & 0 & 0 \\ 0 & \ddots & 0 \\ 0 & 0 & \lambda_m \\ \end{pmatrix}^2
    +\cdots \\ +\cdots \\
    \\ & \\
    & \cdot + \dfrac{1}{k!}\begin{pmatrix} \lambda_1 & 0 & 0 \\ 0 & \ddots & 0 \\ 0 & 0 & \lambda_m \\ \end{pmatrix}^k + \cdots & \cdot + \dfrac{1}{k!}\begin{pmatrix} \lambda_1 & 0 & 0 \\ 0 & \ddots & 0 \\ 0 & 0 & \lambda_m \\ \end{pmatrix}^k + \cdots
    \end{align}`$ \end{align}`$
    ......
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