If AAA is a 3×33 \times 33×3 matrix with eigenvalues λ1=1,λ2=2,λ3=3\lambda_1=1, \lambda_2=2, \lambda_3=3λ1=1,λ2=2,λ3=3, what is det(A−1)\det(A^{-1})det(A−1)?
1/61/61/6
666
1/51/51/5
555