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

The cofactor matrix for $A$ is the D6159: Complex square matrix \begin{equation} \begin{bmatrix} \text{Cof}_A (1, 1) & \text{Cof}_A (1, 2) & \cdots & \text{Cof}_A (1, N) \\ \text{Cof}_A (2, 1) & \text{Cof}_A (2, 2) & \vdots & \text{Cof}_A (2, N) \\ \vdots & \cdots & \ddots & \vdots \\ \text{Cof}_A (N, 1) & \text{Cof}_A (N, 2) & \cdots & \text{Cof}_A (N, N) \end{bmatrix} \end{equation}