Is the set linearly independent?
#I have a vague kind of idea that those functions form a linearly independent set but only on [0,2pi]. Could anyone give me some advice on this? Thanks very much
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Yes, they form a linearly independent set on the entire real line, not just . Indeed, because they are periodic with period , whatever is true of them on is true for all x.
Thanks! is there a way to prove that those functions are linearly independent in a simple way? It's easy to show if i take 2 functions out of it
ie but I am having trouble doing it for an arbitrary subset
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