ThmDex – An index of mathematical definitions, results, and conjectures.
Traces of complex matrix gramians coincide
Formulation 0
Let $A \in \mathbb{C}^{N \times M}$ be a D999: Complex matrix.
Then \begin{equation} \text{Trace}(A^* A) = \text{Trace} (A A^*) \end{equation}
Proofs
Proof 0
Let $A \in \mathbb{C}^{N \times M}$ be a D999: Complex matrix.