Suppose det(A)=5\det(A) = 5det(A)=5 where AAA is 3×33 \times 33×3, and det(B)=−3\det(B) = -3det(B)=−3 where BBB is invertible. What is det(2ATB−1A)\det(2A^T B^{-1} A)det(2ATB−1A)?
−40
−2003-\frac{200}{3}−3200
2003\frac{200}{3}3200
40