1. The problem statement, all variables and given/known data F:R^2 to R^2 defined by F(x)= x1+x2 1 Where x= x1 x2 2. Relevant equations Must satisfy these conditions: T(u+v)=T(u)+T(v) T(au)=aT(u) 3. The attempt at a solution I said u= u1 u2 v= v1 v2 u+v= u1+u2 v1+v2 then F(u+v)= (u1+v1) + (u2+v2) ... This is where I got confused. Because there is only a constant in the bottom row, which is a 1, does this mean it is not a transformation? I don't know how to solve these when there is only a constant.