The Minor(A, r, c) command, where A is an $mxm$ (square) Matrix, returns the determinant of the $\left(m-1\right)x\left(m-1\right)$ submatrix found by omitting the rth row and the cth column of A.

$\mathrm{with}\left(\mathrm{Student}\left[\mathrm{LinearAlgebra}\right]\right)\:$

$A≔⟨⟨a\left|b\right|c⟩\,⟨d\left|e\right|f⟩\,⟨g\left|h\right|i⟩⟩$

$A≔\left[\begin{array}{ccc}a& b& c\\ d& e& f\\ g& h& i\end{array}\right]$

$\mathrm{Minor}\left(A\,3\,3\right)$

$ae-bd$

$B≔⟨⟨1\,2\,3\,-4⟩\left|⟨5\,6\,-7\,8⟩\right|⟨9\,-10\,11\,12⟩|⟨-13\,14\,15\,16⟩⟩$

$B≔\left[\begin{array}{cccc}1& 5& 9& \mathrm{-13}\\ 2& 6& \mathrm{-10}& 14\\ 3& \mathrm{-7}& 11& 15\\ \mathrm{-4}& 8& 12& 16\end{array}\right]$

$\mathrm{Minor}\left(B\,2\,3\right)$

$\mathrm{-720}$