Hi guys.

I need to prove the following:

Let $\displaystyle T:V\rightarrow V$ be a linear transformation.

Let $\displaystyle ImgT$ be the span of a set $\displaystyle B$, and $\displaystyle V$ be the span of a set $\displaystyle S$.

I need to prove that if for every $\displaystyle u\in S,v\in B:<T(u),v>=0 $ then $\displaystyle T=0$.

I'm not sure where to start, I need some guidance please.

thanks in advanced!