Questão 2853375

Considerem‑se as matrizes a seguir.

\(A=\begin{pmatrix} 1 & 2 & 3 \\ 2& 1 & 2 \\ 3 & 2 & 1 \\ \end{pmatrix},~I=\begin{pmatrix} 1 & 0 & 0 \\ 0 & 1&0 \\ 0 & 0& 1 \\ \end{pmatrix} \mathrm{e} ~ M=A^{2}-3A+2I.\)

Julgue os itens de 23 a 25.

\(M=\begin{pmatrix} 1 & 0 & 0 \\ \frac{4}{13}& 1 & 0 \\ \frac{1}{13} & \frac{6}{11} & 1 \\ \end{pmatrix}\begin{pmatrix} 13 & 4 & 1\\ 0 &\frac{88}{13} & \frac{48}{13}\\ 0&0 & \frac{120}{11} \\ \end{pmatrix}\) .