Question

1) O valor do determinante 3 0 −2 2 2 3 1 9 1 é:


a) -22

b) -97

c) -107

d) -117

e) -127

Answer 1

Explicação passo-a-passo:

$D=\left|\begin{array}{ccc}3&0&-2\\2&2&3\\1&9&1\end{array}\right| \\\\\text Usando\ a\ Regra\ de\ Sarrus:\\\\D=\left|\begin{array}{ccc}3&0&-2\\2&2&3\\1&9&1\end{array}\right|\left\begin{array}{ccc}3&0\\2&2\\1&9\end{array}\right|\\\\D=3.2.1+0.3.1+(-2).2.9-0.2.1-3.3.9-(-2).2.1\\\\D=6+0-36-0-81+4\\\\\boxed{\boxed{D=-107}}$

Resposta C