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Math Help - System of equations

  1. #1
    Member
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    Sep 2006
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    System of equations

    I have to solve these systems in succession, and I don't know how:

    \left[ \begin {array}{ccc} 0&0&0\\\noalign{\medskip}-1&1&-1\\\noalign{\medskip}0&1&-1\end {array} \right]P = \left[ \begin {array}{c} 0\\\noalign{\medskip}1\\\noalign{\medskip}1<br />
\end {array} \right]

    \left[ \begin {array}{ccc} 0&0&0\\\noalign{\medskip}-1&1&-1\\\noalign{\medskip}0&1&-1\end {array} \right]Q = P

    I need P and Q
    Last edited by Ideasman; November 13th 2007 at 10:22 PM.
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  2. #2
    Senior Member Peritus's Avatar
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    P = transpose[(p1,p2,p3)]
    Q = transpose[(q1,q2,q3)]

    -p1+p2-p3 = 1
    p2 - p3 = 1
    -----------------
    p1 = 0, p2 = 1+p3

    ~~~~~~~~~~~~~~~~~
    -q1+q2-q3 = p2
    q2 - q3 = p3
    ----------------
    -q1 = p2-p3 = 1 --------> q1= -1
    q2 = p3 + q3

    P = transpose[(0, 1+p3, p3)]

    Q = transpose[(-1, p3 + q3, q3)]

    which means you've got 2 D.O.F's let's choose for instance q3 = p3 = 0

    P = transpose[(0,1,0)] Q = transpose[(-1,0,0)]
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