===== Det exp formula ===== ==== Theorem ==== | $ A\in\mathrm{Matrix}(n,\mathbb C) $ | | @#55EE55: postulate | @#55EE55: $\mathrm{det}\left(\mathrm{exp}(A)\right)=\mathrm{e}^{\mathrm{tr}\ A}$ | ==== Discussion ==== This is a corollary of Jacobi's formula. === Reference === Wikipedia: [[http://en.wikipedia.org/wiki/Jacobi%27s_formula|Jacobi's formula]] ==== Parents ==== === Context === [[Determinant via multilinear functionals]], [[Exponential function]]