# Linear algebra basis question

What is a basis for the vector space V which consists of all sequences

g(n) = a_n

in F that have only a finite number of nonzero terms a_n.

(Def: A sequence in F is a function g from the positive integers into F).

I don't know, I can "see" euclidean, polynomial, and matrix bases in my head, but not function and sequence bases.

matt grime
Homework Helper
e(n), which is zero for i=/=n, 1 for i=n is a basis.

mathwonk