Commit 3334b004 authored by Claude Meny's avatar Claude Meny

Update cheatsheet.fr.md

parent 13fb2c3b
Pipeline #16405 canceled with stage
......@@ -70,15 +70,15 @@ $`M`$ est diagonale :
$`M = \begin{pmatrix} \lambda_1 & 0 & 0 \\ 0 & \ddots & 0 \\ 0 & 0 & \lambda_m \\ \end{pmatrix}`$
$`\begin{align} e^{\,M} = & \sum_{n=0}^{+\infty}\dfrac{M^n}{n!} \\
$`\begin{align} e^{\,M} & = \sum_{n=0}^{+\infty}\dfrac{M^n}{n!} \\
& \\
& \begin{pmatrix} 1 & 0 & 0 \\ 0 & \ddots & 0 \\ 0 & 0 & 1 \\ \end{pmatrix} +
& = \begin{pmatrix} 1 & 0 & 0 \\ 0 & \ddots & 0 \\ 0 & 0 & 1 \\ \end{pmatrix} +
\begin{pmatrix} \lambda_1 & 0 & 0 \\ 0 & \ddots & 0 \\ 0 & 0 & \lambda_m \\ \end{pmatrix} + \cdots \\
& \\
& \cdot +\dfrac{1}{2!}\begin{pmatrix} \lambda_1 & 0 & 0 \\ 0 & \ddots & 0 \\ 0 & 0 & \lambda_m \\ \end{pmatrix}^2
& \quad \cdots +\dfrac{1}{2!}\;\begin{pmatrix} \lambda_1 & 0 & 0 \\ 0 & \ddots & 0 \\ 0 & 0 & \lambda_m \\ \end{pmatrix}^2
+\cdots \\
& \\
& \cdot + \dfrac{1}{k!}\begin{pmatrix} \lambda_1 & 0 & 0 \\ 0 & \ddots & 0 \\ 0 & 0 & \lambda_m \\ \end{pmatrix}^k + \cdots
& \quad \cdots + \dfrac{1}{k!}\;\begin{pmatrix} \lambda_1 & 0 & 0 \\ 0 & \ddots & 0 \\ 0 & 0 & \lambda_m \\ \end{pmatrix}^k + \cdots
\end{align}`$
......
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