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Vector space question

  1. Dec 14, 2008 #1
    Hi, good morning!

    I'm having trouble with vector space.

    Let there be α and β some given numbers. Prove that the set of all the real numbers f(x) so that: α*f(-2) + β*f(5) = 0 is a vector space !

    Could someone please write a full solution for he axiom scalar multiplication?
  2. jcsd
  3. Dec 14, 2008 #2
    There is no "Axiom scalar multiplication"

    You want to show that scalar multiplication as it is defined on your "Vector Space" has a multiplicative identity, and that distributivity holds with the operation of vector addition defined on your vector space.

    So how is it defined on this Vector Space?
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