Which statement about the determinant of a matrix AAA is false?
det(A)=det(AT)\det(A) = \det(A^T)det(A)=det(AT)
det(AB)=det(A)det(B)\det(AB) = \det(A)\det(B)det(AB)=det(A)det(B)
det(A+B)=det(A)+det(B)\det(A+B) = \det(A) + \det(B)det(A+B)=det(A)+det(B)
If AAA has a row of zeros, det(A)=0\det(A)=0det(A)=0