1. Aug 28, 2010

### juaninf

Let $$T\in{L(V,W)}$$
The equation $$Tx=y$$ have one solution iff $$y\in{R(T)}$$

Last edited: Aug 28, 2010
2. Aug 28, 2010

### Staff: Mentor

What have you tried?

3. Aug 28, 2010

### HallsofIvy

A couple of questions: when you say "has one solution" do you mean exactly one solution or at least one solution?

Also, do you know the definition of "R(T)"?

It looks to me like this problem is either impossible or trivial!

4. Aug 28, 2010