# Prove Unique Solution

## Main Question or Discussion Point

Supposse that $$y \in{R(T)}$$, $$T\in{L(V,W)}$$ the equation $$Tx=y$$, have unique solution if only and if T is injectiva

## Answers and Replies

Related Linear and Abstract Algebra News on Phys.org
Mark44
Mentor
What have you tried? Do you know how to prove if and only if statements?

yes, first left after right, i want only idea,

HallsofIvy
Science Advisor
Homework Helper
??? "first left after right" means nothing to me. Please answer Mark44's question, "What have you tried?".

I maked this

HallsofIvy
Science Advisor
Homework Helper
If you aren't going to answer questions asked to clarify your post, I see no reason to continue this.