Question

Calcule o determinante da matriz B.

B =
$\\ |0 \: \: \: \: \: \: \: \: \: \:2 \: \: \: \: \: \: \: \:3| \\ | - 1 \: \: \: \: \: \:3 \: \: \: \: 2| \\ | - 4 \: \: \: \: \: \: \:1 \: \: \: - 2|$
det B =


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Answer 1

Explicação passo-a-passo:

$\sf B=\left[\begin{array}{ccc} \sf 0 & \sf 2 & \sf 3 \\ \sf -1 & \sf 3 & \sf 2 \\ \sf -4 & \sf 1 & \sf -2 \end{array}\right]$

$\sf det~(B)=0\cdot3\cdot(-2)+2\cdot2\cdot(-4)+3\cdot(-1)\cdot1-(-4)\cdot3\cdot3-1\cdot2\cdot0-(-2)\cdot(-1)\cdot2$

$\sf det~(B)=-0-16-3+36-0-4$

$\sf det~(B)=36-23$

$\sf det~(B)=13$

Answer 2

Para visualizar a resposta acesse

https://brainly.com.br/tarefa/32056829?answering=true&answeringSource=undefined

$\tt{B}=\begin{vmatrix}0&2&3\\-1&3&2\\-4&1&-2\end{vmatrix}\\\sf{det~B=0\cdot(-6-2)-2\cdot(2+8)+3\cdot(-1+12)}\\\sf{det~B=-20+33}\\\huge\boxed{\boxed{\boxed{\boxed{\boxed{\sf{det~B=13}}}}}}$