If AAA and BBB are n×nn \times nn×n matrices and det(AB)=0\det(AB) = 0det(AB)=0, which must be true?
det(A)=0\det(A) = 0det(A)=0
det(B)=0\det(B) = 0det(B)=0
At least one of det(A)\det(A)det(A) or det(B)\det(B)det(B) is 0
Both det(A)=0\det(A) = 0det(A)=0 and det(B)=0\det(B) = 0det(B)=0