Consider A=(0110)A = \begin{pmatrix} 0 & 1 \\ 1 & 0 \end{pmatrix}A=(0110). What are the eigenvalues of A2025A^{2025}A2025?
1,−11, -11,−1
1,11, 11,1
0,10, 10,1
−1,−1-1, -1−1,−1