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Triangular matrix

  1. Sep 28, 2011 #1
    1. The problem statement, all variables and given/known data


    I have block matrix M = [A B;
    C D]

    Is it always possible to get matrix U, such that the followings hold?:

    1. UMU^{-1}=Triangular matrix, and

    2. U = [P x;
    x x ]

    3. PAP^{-1}= triangular matrix

    x = don't care

    or in other words: can we always find matrix U that make M triangular, with its first component: matrix P that make A triangular.

    Please help me, I m really stuck

    thanks a lot
     
  2. jcsd
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