Question

Let
$M=\begin{pmatrix} 0 & 0 & 0 & 0 & -1 \\\ 2 & 0 & 0 & 0 & -4 \\\ 0 & 2 & 0 & 0 & 0 \\\ 0 & 0 & 2 & 0 & 3 \\\ 0 & 0 & 0 & 2 & 2 \end{pmatrix}$
If p(x) is the characteristic polynomial of M, then p(2) - 1 equals _________

Answer 1

The correct answer is 31.