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Intersection of Subspaces

  1. Oct 30, 2007 #1
    Hi to all,

    I really need help fast.

    How do I solve this question? A solution would be much appreciated. THANKS A MILLION!

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    Let S1 and S2 be the two subspaces in a vector space V. Show that the intersection of S1 and S2 is also a subspace in V.
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  2. jcsd
  3. Oct 30, 2007 #2
    You need to show some work. What is the definition of a subspace?
     
  4. Oct 30, 2007 #3
    Question

    Ok sorry, there was one piece of information that I left out.

    The question is:

    Let S1 and S2 be the two subspaces in a vector space V. Show that the intersection of S1 and S2 is also a subspace in V.

    Assume vector space over GF(2).

    Can someone please help me? Thanks!
     
  5. Oct 30, 2007 #4
    That doesn't change anything. You need to show us what you have attempted already? What is the definition of a subspace?
     
  6. Oct 30, 2007 #5
    Let a, b any two elements in the intersection and show that they satisfy the 3 rules of subspace. Any textbook should also have the proof already because this is a common theorem.
     
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