If AAA is an invertible 4×44 \times 44×4 matrix with det(A)=−2\det(A) = -2det(A)=−2, what is det(A−1)\det(A^{-1})det(A−1)?
−2-2−2
12\frac{1}{2}21
−12-\frac{1}{2}−21
222