3.
$$\mathbf { M } = \left( \begin{array} { r r r }
6 & 1 & - 1
0 & 7 & 0
3 & - 1 & 2
\end{array} \right)$$
- Show that 7 is an eigenvalue of the matrix \(\mathbf { M }\) and find the other two eigenvalues of \(\mathbf { M }\).
- Find an eigenvector corresponding to the eigenvalue 7.