Find the eigenvalues of the matrix \(A = \begin{pmatrix} 0 & 0 & -1 \\ 0 & -1 & 0 \\ 0 & 0 & -1 \end{pmatrix}\).
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If a matrix is upper or lower triangular, its eigenvalues are simply the elements on the main diagonal.
While this matrix is not strictly triangular due to the \( -1 \) in the top right, it is effectively block diagonal, making the diagonal elements the roots.