2. (15%) Find the eigenvalues of, eigenvectors of, and diagonalize the matrix \( A = \begin{bmatrix} -3 & 4 \\ 4 & -3 \end{bmatrix} \) and explain the meanings of these calculations.
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2. (15%) Find the eigenvalues of, eigenvectors of, and diagonalize the matrix \( A = \begin{bmatrix} -3 & 4 \\ 4 & -3 \end{bmatrix} \) and explain the meanings of these calculations.