$$\[ \mathbf{M}=\left(\begin{array}{rrr} 0 & -1 & 3 \\ -1 & 4 & -1 \\ 3 & -1 & 0 \end{array}\right) \]$$ Given that $$\(\left(\begin{array}{r}1 \\ -2 \\ 1\end{array}\right)\)$$ is an eigenvector of $$\(\mathbf{M}\)$$ Given that -3 is an eigenvalue of $$\(\mathbf{M}\)$$ (b) determine a corresponding eigenvector. (2)

Answer:

Knowledge points:

Solution: