Let T:Rn→RmT: \mathbb{R}^n \to \mathbb{R}^mT:Rn→Rm have a matrix AAA. If rank(A)=k\text{rank}(A) = krank(A)=k, what is the nullity of AAA?
n−kn-kn−k
m−km-km−k
kkk
n+kn+kn+k