3. let v = r$ and define f f2.f e v as follows fax,y,2) =x+y, 2a,y,z) = x- 2y +z, fx,y,z) = 3z. prove that f f2fa} is a basis for v", and then find a basis for

3. Let V = R$ and define f f2.f E V as follows fAx,y,2) =x+y, 2a,y,z) = x- 2y +z, fx,y,z) = 3z. Prove that f f2fa} is a basis for V", and then find a basis for V for which it is the dual basis.