If AAA and BBB are n×nn \times nn×n matrices, which of the following is true regarding rank?
rank(A+B)=rank(A)+rank(B)\text{rank}(A+B) = \text{rank}(A) + \text{rank}(B)rank(A+B)=rank(A)+rank(B)
rank(AB)=rank(A)⋅rank(B)\text{rank}(AB) = \text{rank}(A) \cdot \text{rank}(B)rank(AB)=rank(A)⋅rank(B)
rank(AB)≤min(rank(A),rank(B))\text{rank}(AB) \leq \min(\text{rank}(A), \text{rank}(B))rank(AB)≤min(rank(A),rank(B))
rank(A)=rank(A2)\text{rank}(A) = \text{rank}(A^2)rank(A)=rank(A2)