1. The problem statement, all variables and given/known data I have to determine whether the following is a linear transformation T(x,y)=(x,0) 2. Relevant equations 3. The attempt at a solution again, let v=(v1, v2) and w=(w1,w2) then, T(v+w)=T(v1+w1, v2+w2)=(v1+w1, 0) and, T(v)+T(w)=(v1+w1, 0) so the first condition holds. AND: let c be a constant: T(cv)=T(cv1,cv2)=(cv1, 0)=c(v1,0)=cT(v) so both conditions hold therefore it's linear transformation is that correct?