Let AAA be a 2×22 \times 22×2 matrix with eigenvalues λ1=2\lambda_1 = 2λ1=2 and λ2=5\lambda_2 = 5λ2=5. What are the eigenvalues of A−1A^{-1}A−1?
−2-2−2 and −5-5−5
12\frac{1}{2}21 and 15\frac{1}{5}51
222 and 555
−1/2-1/2−1/2 and −1/5-1/5−1/5