Let $A \in \mathbb{C}^{N \times N}$ be a D6159: Complex square matrix such that

(i)	$N \in \{ 2, 3, 4, \ldots \}$ is a D5094: Positive integer
(ii)	$n, m \in \{ 1, 2, \ldots, N \}$ are each a D5094: Positive integer
(iii)	$B \in \mathbb{C}^{(N - 1) \times (N - 1)}$ is a D6181: Complex matrix standard submatrix for $A$ with respect to $(n, m)$

The cofactor for $A$ with respect to $(n, m)$ is the D1207: Complex number $$\begin{equation} (-1)^{n + m} \text{Det} B \end{equation}$$