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-   -   Solve by inverse (https://www.askmehelpdesk.com/showthread.php?t=409629)

  • Oct 25, 2009, 07:36 PM
    codysmom99
    solve by inverse
    How do you solve this system by inverses?

    x + y + z = 1
    2x + y = -2
    3y + z = 2
  • Oct 25, 2009, 07:49 PM
    Perito

    I'm not familiar with the term "inverse" for solving simultaneous equations. Are you using Cramer's rule (matrices/determinants) to solve this?

    I'm assuming that this is what you mean, but I'm not sure.

    Set up a matrix from the coefficients of the three equations

    x + y + z = 1
    2x + y = -2
    3y + z = 2



    Calculate the determinate of this matrix (5, if I did it correctly).



    To solve for X, replace the first column with a vector of the numbers on the right of the equations. Divide the resulting determinant by the determinant calculated above (5)





    Replace the middle column to solve for Y



    Replace the rightmost column to solve for Z


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