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

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

Then \begin{equation} \text{Det} A = \lambda^N \end{equation}