Olá, Jacque.
[tex] |2|=2 \\\\\\ \begin{vmatrix}3& -1 \\ 2 & 3 \end{vmatrix}=3\cdot3-2\cdot(-1)=9+3=12 \\\\\\ \begin{vmatrix} 4 &2& 1 \\ 0 &3& 2 \\ 2 &2& 1 \\ \end{vmatrix}= \begin{vmatrix} 4 &2& 1 \\ 0 &3& 2 \\ 2 &2& 1 \\ \end{vmatrix} \begin{vmatrix} 4 &2 \\ 0 &3 \\ 2 &2 \\ \end{vmatrix}=\underbrace{(12+8+0)}_{=20}-\underbrace{(6+16+0)}_{=22}=-2 [/tex]
[tex]\therefore |2| \cdot \begin{vmatrix}3& -1 \\ 2 & 3 \end{vmatrix} \cdot \begin{vmatrix} 4 &2& 1 \\ 0 &3& 2 \\ 2 &2& 1 \\ \end{vmatrix}=2 \cdot 12 \cdot (-2) = \boxed{-48}[/tex]
