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Homework Help: How to prove subspace here

  1. Dec 17, 2008 #1
    i know that in order to prove that one group of vectors are a part of another
    i need to stack them up

    i did row reduction and i dont know how to extract a vector for the group

    http://img384.imageshack.us/img384/2546/55339538nk4.gif [Broken]

    this came from this question part 2

    http://img116.imageshack.us/img116/1152/25587465vv2.gif [Broken]

    in the U group i have equations with "k"
    i dont know what vectors to take?
     
    Last edited by a moderator: May 3, 2017
  2. jcsd
  3. Dec 17, 2008 #2
    Have you tried using orthogonality? If the vectors span R^(3), then they must be linearly independent; how can you show that two vectors are perpendicular?
     
  4. Dec 17, 2008 #3
    http://img408.imageshack.us/img408/2364/89390838kq8.gif [Broken]
     
    Last edited by a moderator: May 3, 2017
  5. Dec 17, 2008 #4
    this last part is row reduction question..

    i dont know how to build the build matrix
     
  6. Dec 17, 2008 #5

    HallsofIvy

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    What set is it that you are trying to prove is a subspace?
     
  7. Dec 17, 2008 #6
    i am trying to prove that u(k1) is a subset of v(k2)
     
  8. Dec 17, 2008 #7
    how to solve the second part?
     
  9. Dec 17, 2008 #8
    What does it mean for one set (call it A) to be a subset of another (call it B)? Every element in A must be an element in B. You must show that every element satisfies this requirement, or else it isn't a subset.
     
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