Det exp formula

Theorem

$ A\in\mathrm{Matrix}(n,\mathbb C) $
postulate $\mathrm{det}\left(\mathrm{exp}(A)\right)=\mathrm{e}^{\mathrm{tr}\ A}$

Discussion

This is a corollary of Jacobi's formula.

Reference

Wikipedia: Jacobi's formula

Parents

Context

Determinant via multilinear functionals, Exponential function