AJUDA ???1- Determine o valor da expressao : . 2 . 3 -1 4 2 1 2 3 . 0 .... Pergunta de ideia dejacque

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AJUDA ???

1- Determine o valor da expressao :

2 . 3 -1 4 2 1
2 3 . 0 3 2
2 2 1

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Verified answer

Olá, Jacque.

$|2|=2 \\\\\\ \begin{vmatrix}3& -1 \\ 2 & 3 \end{vmatrix}=3\cdot3-2\cdot(-1)=9+3=12 \\\\\\ \begin{vmatrix} 4 &2& 1 \\ 0 &3& 2 \\ 2 &2& 1 \\ \end{vmatrix}= \begin{vmatrix} 4 &2& 1 \\ 0 &3& 2 \\ 2 &2& 1 \\ \end{vmatrix} \begin{vmatrix} 4 &2 \\ 0 &3 \\ 2 &2 \\ \end{vmatrix}=\underbrace{(12+8+0)}_{=20}-\underbrace{(6+16+0)}_{=22}=-2$

$\therefore |2| \cdot \begin{vmatrix}3& -1 \\ 2 & 3 \end{vmatrix} \cdot \begin{vmatrix} 4 &2& 1 \\ 0 &3& 2 \\ 2 &2& 1 \\ \end{vmatrix}=2 \cdot 12 \cdot (-2) = \boxed{-48}$