Question

Dada a matriz B abaixo, pela Regra de Sarrus, o determinante da matriz é:



= [

1 −1 0

5 2 3

0 4 −2

]​

Answer 1

Explicação passo-a-passo:

Dado a matriz B:

$B=\left[\begin{array}{ccc}1&-1&0\\5&2&3\\0&4&-2\end{array}\right]$

Calculando o determinante pela Regra de Sarrus:

$detB=\left|\begin{array}{ccc}1&-1&0\\5&2&3\\0&4&-2\end{array}\right|\\\\\\detB=\left|\begin{array}{ccc}1&-1&0\\5&2&3\\0&4&-2\end{array}\right\left|\begin{array}{ccc}1&-1\\5&2\\0&4\end{array}\right|\\\\detB=1.2.(-2)+(-1).3.0+0.5.4-(-1).5.(-2)-1.3.4-0.2.0\\\\detB=-4-0+0-10-12-0\\\\\boxed{\boxed{detB=-26}}$