Matrix exponential

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The $n$-dimensional matrix exponential $\exp_n \colon \mathbb{R}^{n \times n} \rightarrow \mathbb{R}^{n \times n}$ is defined by $$\exp_n(X)=\displaystyle\sum_{k=0}^{\infty} \dfrac{X^k}{k!}.$$

Properties

Matrix e^A=limit of (I+A/s)^s

References