Evaluate the determinant of the following matrix A =

$\displaystyle

\left|\begin{array}{ccccc}2 & 1 & -3 & -1 & 2 \\ 0 & -1 & 0 & 3 & 1 \\ 0 & 2 & 0 & 0 & 1 \\ 0 & 0 & 1 & 0 & 2 \\ 0 & 3 & 0 & 3 & 2 \end{array}\right|

$

by doing a co-factor expansion.

Please expalin how to do it, thank you!

this is the exercise on my task