Which of the following is true regarding the determinant of a product?
det(AB)=det(A)+det(B)\det(AB) = \det(A) + \det(B)det(AB)=det(A)+det(B)
det(AB)=det(A)det(B)\det(AB) = \det(A) \det(B)det(AB)=det(A)det(B)
det(AB)=det(B)det(A)−1\det(AB) = \det(B) \det(A)^{-1}det(AB)=det(B)det(A)−1
det(AB)=0\det(AB) = 0det(AB)=0