List of top Engineering Mathematics Questions on Eigenvalues and Eigenvectors asked in GATE PI

For the matrix \[ \begin{bmatrix} 4 & 2 \\ 3 & 3 \end{bmatrix} \] , eigenvalue corresponding to the eigenvector \[ \begin{bmatrix} 2 \\ -3 \end{bmatrix} \] is ................. (in integer).