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Is S a vector spaceLet C([-1,1] be the set of continuous function.pdf

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Is S a vector space? Let C([-1,1] be the set of continuous functions on the intreval [-1,1], and let S be the subset of C([-1,1]) consisting of f such that f(-x)=-f(x) for any x in [-1,1]. Is S a vector space? I am having problems with this.. Solution yes S is a vector space...

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Is S a vector space? Let C([-1,1] be the set of continuous functions on the intreval [-1,1], and let S be the subset of C([-1,1]) consisting of f such that f(-x)=-f(x) for any x in [-1,1]. Is S a vector space? I am having problems with this.. Solution yes S is a vector space..

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  • 1. Is S a vector space? Let C([-1,1] be the set of continuous functions on the intreval [-1,1], and let S be the subset of C([-1,1]) consisting of f such that f(-x)=-f(x) for any x in [-1,1]. Is S a vector space? I am having problems with this.. Solution yes S is a vector space..