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Math Help - Matrices and their inverse

  1. #1
    Senior Member Educated's Avatar
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    Matrices and their inverse

    The question is attached.

    The main thing of the question is for me to understand the concept.

    So to find the values of (x,y,z) I would have to find the inverse of the inverse matrix. I think I'm supposed to use the supermatrix method or the co-factor method? But how would I go about doing that?

    If I use the supermatrix method, there's no way I can reduct the second row to [0 1 0]. The co-factor method would just give me lots of unknowns...
    Attached Thumbnails Attached Thumbnails Matrices and their inverse-vectors.bmp  
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  2. #2
    MHF Contributor

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    Re: Matrices and their inverse

    You do understand that A-1A= I, right? So just go ahead and multiply those together and see what you get!

    For example, Multiplying the second row of A^{-1} by the first column gives 2+ 3x= 4= 0.
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  3. #3
    Senior Member Educated's Avatar
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    Re: Matrices and their inverse

    Can't believe I missed that, thanks!
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