Question
Let $A=\left(\begin{array}{cc}0 & -2 \pi \\ 2 \pi & 0\end{array}\right)$. Show that $e^A=\mathrm{I}$.
Step 1
The matrix exponential of a matrix $A$, denoted $e^A$, is defined by the series: \[ e^A = \sum_{n=0}^\infty \frac{A^n}{n!} \] where $A^n$ is the matrix $A$ raised to the power $n$, and $n!$ is the factorial of $n$. Show more…
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Key Concepts
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