Which of these is true for any two n×nn \times nn×n matrices AAA and BBB?
rank(AB)=rank(A)rank(B)rank(AB) = rank(A)rank(B)rank(AB)=rank(A)rank(B)
rank(AB)≤min(rank(A),rank(B))rank(AB) \leq \min(rank(A), rank(B))rank(AB)≤min(rank(A),rank(B))
rank(AB)=rank(A)+rank(B)rank(AB) = rank(A) + rank(B)rank(AB)=rank(A)+rank(B)
rank(A+B)=rank(A)+rank(B)rank(A+B) = rank(A) + rank(B)rank(A+B)=rank(A)+rank(B)