Let $I_N \in \mathbb{C}^{N \times N}$ be a D5699: Complex identity matrix.
Let $z \in \mathbb{C}$ be a D1207: Complex number.
Let $z \in \mathbb{C}$ be a D1207: Complex number.
Then
\begin{equation}
\text{Det}(z I_N - I_N)
= (z - 1)^N
\end{equation}