Question

Calcule o valor do det(A): A=
[ 2 4 6 ]
[ 5 7 8 ]
[ 2 3 9 ]​

Answer 1

Resposta:

$\textsf{Leia abaixo}$

Explicação passo-a-passo:

$\mathsf{ A= \left[ \begin{array}{ccc}\sf2&\sf4&\sf6\\\sf5&\sf7&\sf8\\\sf2&\sf3&\sf9\end{array} \right] }$

$\mathsf{det_{(A)}= \left|\begin{array}{ccc}\sf2&\sf4&\sf6\\\sf5&\sf7&\sf8\\\sf2&\sf3&\sf9\end{array}\right|\left|\begin{array}{cc}\sf2&\sf4\\\sf5&\sf7\\\sf2&\sf3\end{array}\right| }$

$\mathsf{det_{(A)}= [ 126+ 64+90]-[ 84+ 48+180] }$

$\mathsf{ det_{(A)}= [190+90]-[ 132+180]}$

$\mathsf{det_{(A)}=[ 280]-[ 312] }$

$\boxed{\boxed{\mathsf{det_{(A)}= -32 }}}$