Question

How to find matrix of minor and calculate the determinant using the remaining values.

Answer 1

Here are the first two, and last two, calculations of the “Matrix of Minors”
$\left[\begin{array}{ccc}& 0& \\ 2& 0& -2\\ 0& 1& 1\end{array}\right]0\times 1-(-2)\times 1=2\left[\begin{array}{ccc}3& & 2\\ 2& 0& -2\\ 0& 1& 1\end{array}\right]2\times 1-(-2)\times 0=2\left[\begin{array}{ccc}3& 0& 2\\ 2& 0& -2\\ 0& & 1\end{array}\right]3\times -2-2\times =-10\left[\begin{array}{ccc}3& 0& 2\\ 2& 0& -2\\ 0& 1& \end{array}\right]3\times 0-0\times 2=0$
And here is the calculation for the whole matrix:
$\left[\begin{array}{ccc}0\times 1-(-2)\times 1& 2\times 1-(-2)\times 0& 2\times 1-0\times 0\\ 0\times 1-2\times 1& 3\times 1-2\times 0& 3\times 1-0\times 0\\ 0\times (-2)-2\times 0& 3\times (-2)-2\times 2& 3\times 0-0\times 2\end{array}\right]=\left[\begin{array}{ccc}2& 2& 2\\ -2& 3& 3\\ 0& -10& 0\end{array}\right]$