If we define the linear map T: Rn --> Rm and x --> Ax and the dimension of the nullspace of A is 2, what is the dimension of the range of A? What can you say about the relation between n and m?

I think the dimension of the range of A is m-2 because dim(nullspace(A)) + dim(range(A)) = dim(A) and that would mean m>n but I could be understanding this wrong.