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Explain if the set below is a vector space given standard operations. The set of all even...

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Advance Math

Explain if the set below is a vector space given standardoperations.

The set of all even functions defined on R with addition and scalarmultiplication defined as follows:

1.) (f+g)(x) = f(x) + g(x) (addition)
2.) (cf)(x) = cf(x)

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