Question

Considere a matriz,
Calcule o determinante de A.

Answer 1

Explicação passo-a-passo:

Temos a seguinte matriz:

$A=\left(\begin{array}{ccc}2&1&0\\3&2&5\\0&1&2\end{array}\right)$

Calculando o seu determinante(Regra de Sarrus):

$detA=\left|\begin{array}{ccc}2&1&0\\3&2&5\\0&1&2\end{array}\right|\\\\detA=\left|\begin{array}{ccc}2&1&0\\3&2&5\\0&1&2\end{array}\right\left|\begin{array}{ccc}2&1\\3&2\\0&1\end{array}\right|\\\\detA=2.2.2+1.5.0+0.3.1-1.3.2-2.5.1-0.2.0\\\\detA=8+0+0-6-10-0\\\\\boxed{\boxed{detA=-8}}$