If AAA and BBB are 3×33 \times 33×3 matrices with det(A)=2\det(A) = 2det(A)=2 and det(B)=−3\det(B) = -3det(B)=−3, what is det(ATB−1)\det(A^T B^{-1})det(ATB−1)?
−23-\frac{2}{3}−32
−32-\frac{3}{2}−23
−6-6−6
666