Question

O determinante da Matriz A $\left(\begin{array}{ccc}-2&1&0\\2&3&4\\5&1&2\end{array}\right)$ é igual a:

Answer 1

Resposta:

$\textsf{Segue a resposta abaixo}$

Explicação passo-a-passo:

$\left(\begin{array}{ccc}\sf-2&\sf1&\sf0\\\sf2&\sf3&\sf4\\\sf5&\sf1&\sf2\end{array}\right)$

$\left|\begin{array}{ccc}\sf-2&\sf1&\sf0\\\sf2&\sf3&\sf4\\\sf5&\sf1&\sf2\end{array}\right|\left|\begin{array}{cc}\sf-2&\sf1\\\sf2&\sf3\\\sf5&\sf1\end{array}\right|$

$\mathsf{ det=[-12+20+0]-[4+(-8)+0]}$

$\mathsf{ det=[8+0]-[-4+0]}$

$\mathsf{ det=[8]-[-4]}$

$\boxed{\boxed{ \mathsf{ det=12}}}$