ðŸ‘‰ In this video we look at how to calculate e to the power of a Matrix. This is actually very straight forward, you only need to be able to add and multiply

Solve NowYour matrix $M$ is diagonalizable with eigenvalues $\pm i\sqrt{89}$. This means that $e^M = p(M)$ where $p \in \Bbb{C}[x]$ is the unique polynomial of degree less than $2$

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The first thing I need to do is to make sense of the matrix exponential. The Taylor series for is It converges absolutely for all z. It A is an matrix with real entries, define The powers make

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