ThmDex – An index of mathematical definitions, results, and conjectures.
Real matrix trace is commutation invariant for two real matrices
Formulation 0
Let $A, B \in \mathbb{R}^{N \times M}$ each be a D4571: Real matrix.
Then \begin{equation} \text{Trace}(A B) = \text{Trace} (B A) \end{equation}
Proofs
Proof 0
Let $A, B \in \mathbb{R}^{N \times M}$ each be a D4571: Real matrix.