If AAA and BBB are 3×33 \times 33×3 matrices with det(A)=4\det(A) = 4det(A)=4 and det(B)=−2\det(B) = -2det(B)=−2, find det(ABT)\det(AB^T)det(ABT).
−8-8−8
888
−4-4−4
161616