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Homework Help: Intersections of subspaces

  1. Jan 26, 2009 #1
    1. The problem statement, all variables and given/known data

    Let H and K be subspaces of a vector space V. Prove that the intersection K[tex]\cap[/tex] H is a subspace of V.

    2. Relevant equations

    3. The attempt at a solution

    This, I have absolutely NO idea how and where to start. Are there any axioms which can be used to prove this?
  2. jcsd
  3. Jan 26, 2009 #2
    What does it mean to be a subspace of a vector space?
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