題組內容

6. Given two matrices \( A = \begin{bmatrix} 1 & -1 & 4 \\ 0 & 1 & 3 \\ 2 & -1 & 11 \end{bmatrix} \) and \( B = \begin{bmatrix} 3 & 0 & 0 \\ 1 & -2 & -8 \\ 0 & -5 & 1 \end{bmatrix} \).　

(b) Find all the eigenvalues and their corresponding eigenvectors of B. (10%)