Hi guys.

I need help with the following:

Let be a vector space over .

Let be a base for .

a. let such that for every : . prove that .

b. let such that for every : . prove that .

this is what I tried so far:

a.

let . since is base for , then:

not sure what's next, though. what am I missing here?

Am I even in the right direction?

Thanks in advanced!