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Math Help - System of Equations

  1. #1
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    System of Equations

    I need to find out how to solve a system of equations with the given matrix form:

    AX=CX+B;

    I know I need to make it in the form of X= with inverse of A and C as well as using the identity matrix

    What I have guessed at the moment is
    X= (I-A)^-1 + (I-C)^-1 + B

    I am using excel as I have an equation I have to solve with this but if I can figure out the formula for this I can solve the problem fairly easy.

    Thanks!
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  2. #2
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    Re: System of Equations

    Hey Launcher.

    Re-arranging we get AX - CX = B which implies (A-C)X = B which implies X = (A-C)^(-1)*B.
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  3. #3
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    Re: System of Equations

    Oh wow thanks! I knew I had to re arrange them one way or another but on my other examples I have had to use the Identity matrix in with my equation to solve the problem. However, X= (A-C)(-1)*B looks like it may do the trick as well! I will try this out in excel with my given equation now and see what I come up with!

    This is the equation I am trying to solve for X which is teh x,y,z,w matrix.

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  4. #4
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    Re: System of Equations

    By using excel I got:

    x=-5
    y=-10
    z=5
    w=10

    Does this look correct?
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  5. #5
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    Re: System of Equations

    Try substituting your X vector back in and see if it checks out.
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  6. #6
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    Re: System of Equations

    Yes looks like it checks out! I just wanted to make sure =]
    Thanks for all your help chiro your amazing
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