M0907 - (Mackenzie) Se ???? = B \begin{pmatrix} 1 & 1 & 0 \ 0 & 1 & 0 \ 0 & 0 & 1 \end{pmatrix}, ???? = B \begin{pmatrix} 1 & 0 & 0 \ 0 & 1 & 0 \ 0 & 0 & 1 \end{pmatrix}, ???? = B \begin{pmatrix} 0 & 0 & 0 \ 0 & 0 & 0 \ 0 & 0 & 0 \end{pmatrix} e os inteiros x e y são tais que A^2 + x \cdot A + y \cdot B = C, então