Matrix exponential - Axioms of Choice

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Matrix exponential

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$n\in\mathbb N$

definiendum	$\mathrm{exp}: \text{SquareMatrix}(n,\mathbb C)\to\text{SquareMatrix}(n,\mathbb C)$
definiendum	$\mathrm{exp}(A):=\sum_{k=0}^\infty \frac{1}{k!} A^k$

Discussion

Theorems

$[A,B]=0\implies \mathrm{exp}(A+B)=\mathrm{exp}(A)\cdot\mathrm{exp}(B)$

References

Wikipedia: Matrix exponential, Exponential map

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