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Math Help - Simultaneous Equations

  1. #1
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    Simultaneous Equations

    Hi I need help on solving a 3parameter simultaneous equation
    -2.006x-0.5y-0.7z=0
    -0.5x-2.606y+1.1z=0
    -0.7x+1.1y-0.906z=0
    I need to solve for x, y and z.
    Can anybody explain how I would go about this?
    Thanks
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  2. #2
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    Hi

    If the 3 equations are linearly independent (and it seems to be the case) then (x=0,y=0,z=0) is the only solution
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  3. #3
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    I forgot to say that x, y and z cannot equal 0.
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  4. #4
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    Quote Originally Posted by markrvr View Post
    I forgot to say that x, y and z cannot equal 0.
    The determinant is NOT 0 (it is -0.0355382, approximately) so, as running-gag said, there is NO other solution.
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  5. #5
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    Ok so say I have a singular matrix and I want to solve for x, y and z. How would I do this?
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  6. #6
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    Quote Originally Posted by markrvr View Post
    Ok so say I have a singular matrix and I want to solve for x, y and z. How would I do this?
    There will either be no solution or an infinite number of solutions. It will depend on what the equations are.
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  7. #7
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    Would yo do it by reducing the variables i.e. eqn1 -2eqn2 and reducing it to two variables?
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