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Update 12.temporary_ins/04-math-tools/70.systems-of-differential-equations/40.parallel-1/cheatsheet.fr.md

12.temporary_ins/04-math-tools/70.systems-of-differential-equations/40.parallel-1/cheatsheet.fr.md

@@ -72,18 +72,18 @@ $`M=\begin{pmatrix} \lambda_1 & \cdots & 0 \\ \vdots & \ddots & \vdots \\ 0 & \c
 
 ou  
 
-$`M=\begin{pmatrix} \lambda_1 & 0 & 0 \\ 0 & \ddots & 0 \\ 0 & \cdots & \lambda_m \\ \end{pmatrix}`$
+$`M=\begin{pmatrix} \lambda_1 & 0 & 0 \\ 0 & \ddots & 0 \\ 0 & 0 & \lambda_m \\ \end{pmatrix}`$
 
 $`e^{\,M}=
-\begin{pmatrix}  & 0 & 0 \\ 0 & \ddots & 0 \\ 0 & \cdots & 1 \\ \end{pmatrix}
+\begin{pmatrix} 1 & 0 & 0 \\ 0 & \ddots & 0 \\ 0 & 0 & 1 \\ \end{pmatrix}
 + 
-\begin{pmatrix}  & \lambda_1 & 0 \\ 0 & \ddots & 0 \\ 0 & \cdots & \lambda_m \\ \end{pmatrix}
+\begin{pmatrix}  \lambda_1 & 0 & 0 \\ 0 & \ddots & 0 \\ 0 & 0 & \lambda_m \\ \en{pmatrix}
 +
-\dfrac{1}{2!}\begin{pmatrix}  & \lambda_1 & 0 \\ 0 & \ddots & 0 \\ 0 & \cdots & \lambda_m \\ \end{pmatrix}^2
+\dfrac{1}{2!}\begin{pmatrix} \lambda_1 & 0 & 0 \\ 0 & \ddots & 0 \\ 0 & 0 & \lambda_m \\ \end{pmatrix}^2
 +
 \cdots
 +
-\dfrac{1}{k!}\begin{pmatrix}  & \lambda_1 & 0 \\ 0 & \ddots & 0 \\ 0 & \cdots & \lambda_m \\ \end{pmatrix}^k
+\dfrac{1}{k!}\begin{pmatrix} \lambda_1 & 0 & 0 \\ 0 & \ddots & 0 \\ 0 & 0 & \lambda_m \\ \end{pmatrix}^k
 +
 \cdots
 `$