ThmDex – An index of mathematical definitions, results, and conjectures.

Result R5552 on D5945: Complex matrix trace

Complex matrix trace is commutation invariant for two complex matrices

Formulation 0

Let $A, B \in \mathbb{C}^{N \times M}$ each be a D999: Complex matrix.

Then \begin{equation} \text{Trace}(A B) = \text{Trace} (B A) \end{equation}