Question

\text { (2) Is } \lambda=4 \text { an eigenvalue of }\left(\begin{array}{ccc} 3 & 0 & -1 \\ 2 & 3 & 1 \\ -3 & 4 & 5 \end{array}\right) ? \text { If } 80, \text { find one corresponding eigenvector. }

Fig: 1