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

(i)	$I_N \in \mathbb{C}^{N \times N}$ be a D5699: Complex identity matrix
(ii)	$c \in \mathbb{C}$ is a D1207: Complex number
(iii)	\begin{equation} A = c I_N \end{equation}

Let $z \in \mathbb{C}$ be a D1207: Complex number.

Then \begin{equation} \text{Det}(z I_N - A) = (z - c)^N \end{equation}