Which statement about the property det(AB)=det(A)det(B)\det(AB) = \det(A)\det(B)det(AB)=det(A)det(B) is correct? (Choose all that apply.)
It implies that if det(A)=0\det(A) = 0det(A)=0, then det(AB)=0\det(AB) = 0det(AB)=0
It implies that det(An)=(det(A))n\det(A^n) = (\det(A))^ndet(An)=(det(A))n
It only holds when AAA and BBB are square matrices of the same size
It shows that ABABAB is singular iff at least one of AAA or BBB is singular