Perhaps I should be more specific in my confusion.
In a problem that I am working on I am asked a question involving the vector space , the vector space of polynomials with coefficients from .
I know that is a basis for .
If I blindly apply the definition of a Dual Basis (which I mentioned previously) then I know,
and so on...
What does this mean?
I don't even know if knowing what is will help me with this problem but I want to know.
Does this mean that is some linear functional that takes the first vector in my basis and maps it to 1 and every other vector in the basis to zero?
What does look like??
Thank you in advance too!