If AAA is an invertible 3×33 \times 33×3 matrix with det(A)=−4\det(A) = -4det(A)=−4, what is det((AT)−1)\det((A^T)^{-1})det((AT)−1)?
−14-\frac{1}{4}−41
−4-4−4
444
14\frac{1}{4}41