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Homogeneus matrix question

  1. Nov 25, 2009 #1

    lom

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    [tex]
    \begin{pmatrix}
    3 &0 &0 &-1 &0 &0 \\
    2& 0& 0 & 0 & 0 &-4 \\
    8&2 &0 &-3 &-1 &0 \\
    0& 1& 0& -1& 0& 0\\
    0& 0 &1 &0 &-1 &0
    \end{pmatrix}
    [/tex]
    i got here 5 equations
    and 6 variables

    how to know who is the free variable
    without making a triangle of zeros
    on the bottom
    ?
     
  2. jcsd
  3. Nov 25, 2009 #2

    LCKurtz

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    Science Advisor
    Homework Helper
    Gold Member

    You can't. And there may be more than one free variable. Which variables are free may depend on how your do your row reduction. And the completed row reduction might not come out "triangular".
     
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