\text { (1) Is }\left(\begin{array}{c} 4 \\ -3 \\ 1 \end{array}\right) \text { an eigenvector of }\left(\begin{array}{ccc} 3 & 7 & 9 \\ -4 & -5 & 1 \\ 2

& 4 & 4 \end{array}\right) ? \text { If } 80, \text { find the corresponding eigenvalue. }