- #1
EV33
- 196
- 0
Homework Statement
F:R^2 to R^2 defined by
F(x)=
x1+x2
1
Where x=
x1
x2
Homework Equations
Must satisfy these conditions:
T(u+v)=T(u)+T(v)
T(au)=aT(u)
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.