Suppose AAA is a 3×33 \times 33×3 invertible matrix with eigenvalues 2,−1,2, -1,2,−1, and 444. What is det(A−1)\det(A^{-1})det(A−1)?
18\frac{1}{8}81
−18-\frac{1}{8}−81
−8-8−8
888