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Math Help - subspace proof

  1. #1
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    subspace proof

    Hi there,

    Be M a set and K a field. Now I shall prove that

    V(A) = {f el map(M,K) | f(x)=0, if x isn't el A)

    really is a vector subspace of map(M,K) for subset A \subset M.

    I got more tasks similar to that one and I'ld gladly see how I have to use the terms for subspace-proofs, 'cause I haven't any idea.

    Many thanks,
    Marc
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  2. #2
    Super Member
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    Smile

    i don't understand your notations,but to prove that a set is vector subspace,you should prove that is,
    Closed under addition.
    Closed under scalar multiplication (and therefore it contains the zero vector).
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  3. #3
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    Nov 2009
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    What isn't clear regarding my notations? But I try it again:

    V(A) = {f \in map(M,K) | f(x)=0 if x \not\in A)

    Better?

    I already noticed the terms, but I have no idea what values exactly I should insert to prove them. And how the result will look like.

    Thanks so far!
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