What is the relationship between det(A)\det(A)det(A) and det(AT)\det(A^T)det(AT) for any square matrix AAA?
det(AT)=−det(A)\det(A^T) = -\det(A)det(AT)=−det(A)
det(AT)=det(A)\det(A^T) = \det(A)det(AT)=det(A)
det(AT)=[det(A)]2\det(A^T) = [\det(A)]^2det(AT)=[det(A)]2
det(AT)=1det(A)\det(A^T) = \frac{1}{\det(A)}det(AT)=det(A)1