I am studying the Hahn-Banach Theorem but I'm having a hard time following some of the examples presented in my notes, so I would like to first study some small examples which help me to get some insight into the theorem.
I wonder if you know of any example(s) involving finite vector spaces where the Hahn-Banach Theorem is used?
I am asking for examples with finite vector spaces since in this case linear transformations have matrix representations and I think then it'll be easier to work with.