\[ \begin{pmatrix} -2 & 3 & -2\\ -4 & -2 & 1\\ 2 & 4 & 2 \end{pmatrix} \]
\[ = (-2)\begin{pmatrix} -2 & 1\\ 4 & 2 \end{pmatrix} (-3)\begin{pmatrix} -4 & 1\\ 2 & 2 \end{pmatrix} (-2)\begin{pmatrix} -4 & -2\\ 2 & 4 \end{pmatrix} \]
\[ = - 2 ( - 2)(2) - (1) (4) + ( - 3)(( - 4)(2) - 1(2)) + ( - 2)(( - 4)(4) - ( - 2)(2)) \]
\[ = ( - 2 )( - 8 ) + ( - 3 )( - 10) + ( - 2 )( - 12) \] \[ = 70 is the Determinant \]