Which of these is a property of the rank of a matrix AAA of size m×nm \times nm×n?
rank(A)=rank(AT)rank(A) = rank(A^T)rank(A)=rank(AT)
rank(A)≤mrank(A) \leq mrank(A)≤m and rank(A)≤nrank(A) \leq nrank(A)≤n
rank(A+B)≤rank(A)+rank(B)rank(A+B) \leq rank(A) + rank(B)rank(A+B)≤rank(A)+rank(B)
All of the above