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

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

Result R2464 on D763: Matrix determinant

Determinant is preserved under transpose of complex matrix

Formulation 0

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

Then \begin{equation} \text{det} (A^T) = \text{det} (A) \end{equation}