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Find a basis for the subset

  1. Nov 23, 2013 #1
    1. The problem statement, all variables and given/known data
    Find a basis for the subset S = {(1, 2, 1), (2, 1, 3), (1, -4, 3)}


    2. Relevant equations



    3. The attempt at a solution
    I'm not absolutely sure I'm doing this correctly but here is my attempt:

    First, I put the vectors in S in the rows of a matrix (using multiple square brackets rather than one set of larger ones):
    [1 2 1]
    [2 1 3]
    [1 -4 3]
    Then, I found the row-reduced echelon form:
    [1 0 5/3]
    [0 1 -1/3]
    [0 0 0]
    So, a basis for the subset would be {(1, 0, 5/3), (0, 1, -1/3)}.

    Is this correct?
     
  2. jcsd
  3. Nov 23, 2013 #2
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