ThmDex – An index of mathematical definitions, results, and conjectures.
F13084
Formulation 0
Let $A \in \mathbb{C}^{3 \times 3}$ be a D6159: Complex square matrix such that
(i) \begin{equation} A = \begin{bmatrix} a & b & c \\ d & e & f \\ g & h & i \end{bmatrix} \end{equation}
Then \begin{equation} \text{Det} A = a e i - a f h + c d h - b d i + b f g - c e g \end{equation}