The determinants of two matrices are equal and it can be known without computing.
How do you know that?
$$ \begin{pmatrix} 9 & 2 & 8 & 1 & 2\\ 8 & 7 & 4 & 7 & 12\\ 6 & 4 & 3 & 1 & 8\\ 8 & 3 & 0 & 4 & 12\\ 2 & 1 & 7 & 3 & 9\\ \end{pmatrix} $$
$$ \begin{pmatrix} 9 & 8 & 8 & 4 & 2\\ 2 & 7 & 1 & 7 & 3\\ 6 & 16& 3 & 4 & 8\\ 2 & 3 & 0 & 4 & 3\\ 2 & 4 & 7 & 12 & 9\\ \end{pmatrix} $$
The two matrices are related by row and column operations. To obtain the second from the first, divide rows 2 and 4 by 4, and multiply columns 2 and 4 by 4.