2. 所有題目請敘述計算過程，無計算過程不給分( 50%)
(1). Let A = $$\begin{bmatrix} 0 & 1 & 1 & -1 \\ 1 & 0 & -1 & 1 \\ 1 & -1 & 0 & 1 \\ -1 & 1 & 1 & 0 \end{bmatrix}$$ (a) Write down the characteristic polynomial of \( A \) and use it to find the eigenvalues. (8%)

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