What is a basis for the vector space V which consists of all sequences(adsbygoogle = window.adsbygoogle || []).push({});

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.

Please explain so that I can learn. Thanks in advanced.

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# Linear algebra basis question

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