題組內容
3. Given a matrix \( A = \begin{bmatrix} 1 & 0 & 1 \\ 0 & 1 & 1 \\ 1 & 1 & 0 \end{bmatrix} \) and evaluate the following:
(a) Find the eigenvalues and eigenvectors of A . (10%)
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3. Given a matrix \( A = \begin{bmatrix} 1 & 0 & 1 \\ 0 & 1 & 1 \\ 1 & 1 & 0 \end{bmatrix} \) and evaluate the following:
(a) Find the eigenvalues and eigenvectors of A . (10%)