# Math Help - Isomorphism

1. ## Isomorphism

Let U & V be n-dimensional vector spaces, and f:U-->V is a linear transformation. Prove that if dimension of f:U-->V is equal to n and dimension of image of f is equal to n, then f is an isomorphism.

Thanks.

2. ## Re: Isomorphism

traditionally, we like people to show some of their work, and not just solve the problems for them. where are you having trouble?