Question

4-0 conjunto solução que determina a matriz

|x 6|
|1 x+ 1| = 0 é:

A. S= {-3,-2}
B. S = {3,2}
C. S={-3,2}
S = {3,-2}
E. S={-6,4}

Answer 1

$\begin{bmatrix}x&6\\1&x+1\end{bmatrix}=0\\\\\\Det :\\\\x(x+1) - 6 = 0\\x^2 + x - 6 = 0\\\\\mathsf{Resolvendo, \ encontra-se \ as \ raizes}\\\\x' = 2\\x'' = -3\\\\\mathsf{Portanto,}\\\\\boxed{\boxed{\mathsf{S = \{-3,2\}}}}$

Alternativa "C".

Abraços!