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QR factorization

  1. Feb 17, 2012 #1
    1. The problem statement, all variables and given/known data
    Find the QR factorization of A = {1, 1}, {-1, 1}
    3. The attempt at a solution
    I just don't know the procedure.
    I know it means that I need find Q and R such that A=QR, Q be orthogonal, and R be upper triangular.
    It may be solved by assign Q = {a, b},{c, d}, where ##Q^TQ=1##
    and P = {e, f}, {0, g}
    But, as I run Mathematica, it gives me P that the left-down side entry is nonzero.
    Is there any point that I misunderstood?
    And is there any way to simplify the procedure?
    P.S. Please forgive me that I don't know how to "type" a matrix.
    Regards.
     
  2. jcsd
  3. Feb 17, 2012 #2
    Q is obtained by Schmidt othnormalization, record the coefficients to get R.
     
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