Question

a) det (A) = 8

b) det (A) = -4

c) det (A) = 4

d) det (A) = 12

e) det (A) = -12

Answer 1

Resposta:

letra D

Explicação passo-a-passo:

(-2.3.2+1.4.5+0.2.1)-(0.3.5+(2).4.1+1.2.2)=

(12+20+0)-(0-8+4)

8-(-4)=12

Answer 2

Resposta:

$\textsf{Segue a resposta abaixo}$

Explicação passo-a-passo:

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

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

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

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

$\mathsf{ det\,(A)=[8]-[-4]}$

$\boxed{\boxed{ \mathsf{ det\,(A)=12}}}\leftarrow\textsf{letra D}$