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Thread: linear functional and the proportional's functions

  1. #1
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    linear functional and the proportional's functions

    Let V be a finite dimensional vector space over a field F. Suppose that f,g belong to V*=Hom(V,F)
    have property that if f(v)=0 ,then g(v)=0 .prove that f and g proportional in V*.
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  2. #2
    MHF Contributor
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    Re: linear functional and the proportional's functions

    Hey anoshka.

    Can you show us what you have tried?
    Thanks from topsquark
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