If det(A)=6\det(A) = 6det(A)=6 and det(B)=−2\det(B) = -2det(B)=−2 for 3×33 \times 33×3 matrices, what is det(2ATBA−1)\det(2A^T B A^{-1})det(2ATBA−1)?
det=−48\det = -48det=−48
det=−8\det = -8det=−8
det=48\det = 48det=48
det=96\det = 96det=96