Suppose that A and B are n x n matrices with det(A)=3 and det(B)=5. What is det((A^(-1))(B^T))?

Question

Suppose that A and B are n x n matrices with det(A)=3 and det(B)=5. What is det(A^-1B^T)?

Answer 1

det((A^-1)(B^T)) = det(B)/det(A) = 5/3