Question

Caucule os determinantes:
|2 0 2 |
|0 2 0 |
|0 0 -2|​

Answer 1

Resposta:

Explicação passo a passo:

det=

[(2.2.-2)+(0.0.0)+(2.0.0)]-[(2.2.0)+(0.0.-2)+(0.0.2)]=

[-8+0+0]-[0+0+0]=

-8-0=

-8

Answer 2

Resposta:

$\textsf{Segue a resposta abaixo}$

Explicação passo-a-passo:

$\left[ \begin{array}{ccc}\sf2&\sf0&\sf2\\\sf0&\sf2&\sf0\\\sf0&\sf0&\sf-2\end{array} \right]$

$\sf det =\left| \begin{array}{ccc}\sf2&\sf0&\sf2\\\sf0&\sf2&\sf0\\\sf0&\sf0&\sf-2\end{array} \right|\left|\begin{array}{cc}\sf2&\sf0\\\sf0&\sf2\\\sf0&\sf0\end{array}\right|$

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

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

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

$\boxed{\boxed{ \mathsf{det=-8}} }$