Which of the following is true for any matrix AAA and its transpose ATA^TAT?
rank(A)=rank(AT)\text{rank}(A) = \text{rank}(A^T)rank(A)=rank(AT)
rank(A)>rank(AT)\text{rank}(A) > \text{rank}(A^T)rank(A)>rank(AT)
rank(A)<rank(AT)\text{rank}(A) < \text{rank}(A^T)rank(A)<rank(AT)
The sum of ranks is always even.