Mathematics

Problem

Find minors and cofactors of the elements of the determinant

\begin{vmatrix} 2 & -3 & 5 \\ 6 & 0 & 4 \\ 1 & 5 & -7 \end{vmatrix}

and verify that

a_{11}A_{31} + a_{12}A_{32} + a_{13}A_{33} = 0