What is the exponential for the matrix
$$ \begin{pmatrix} 0 & -x & 0 \\ x & 0 & 0 \\ 0 & 0 & 0 \\ \end{pmatrix} $$
Is it $$ \begin{pmatrix} \cos x & -\sin x & 0 \\ \sin x & \cos x & 0 \\ 0 & 0 & 1 \\ \end{pmatrix} $$
2026-04-13 07:03:06.1776063786
What is the exponential for the matrix
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Hint: Exponential of a matrix is defined using Taylor series, viz $$e^A=I+A+\frac12A^2+...=\sum_{n=1}\frac1{n!}A^n$$