1. The problem statement, all variables and given/known data 2. Relevant equations 3. The attempt at a solution So I know that ##T^*## will be from F to V and we have a fixed scalar a in F. So : ##<u, T^*(a)> \space = \space <T(u), a> \space = \space <<u,v>,a>## Now, I am unsure how to continue this. What should I do with <u,v>? I know that <u,v> is in F, but that doesn't seem to help me much?