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Homework Help: Basis and Dimension of Subspace V

  1. Feb 9, 2010 #1
    1. The problem statement, all variables and given/known data

    V = the set of all symetrical nXn matrices, A=(ajk) such that ajk=akj
    for all j,k=1,...,n

    Determine the base and dimensions for V

    3. The attempt at a solution

    I set my matrix up as

    [a11 a12]
    [a21 a22]

    So a21 and a12 are equal to each other? I assume the others are 0. How can I use any axx in a linear combination?
  2. jcsd
  3. Feb 9, 2010 #2


    Staff: Mentor

    You can't assume that a11 and a22 are zero. Also, you're dealing with n x n matrices, but the one you set up is only 2 x 2.
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