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Vectors and Subpaces

  1. Nov 11, 2007 #1
    I am having trouble with this proof:

    Let H and K be subspaces of the vector space V. The intersection of H and K, written as
    H [tex]\cap[/tex] K, the set of v in V that belong to both H and K. Show that
    H[tex]\cap[/tex] K is a subspace of V
     
  2. jcsd
  3. Nov 11, 2007 #2
    What part are you having trouble with? Remember, if H and K are subspaces of the vector space V you must show that:

    1) 0 is in HnK
    2) For x,y in Hnk, x+y in HnK
    3) k a scalar (in the relevant field) and x in HnK, kx in HnK
     
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