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Math Help - Matricies / equilibrium proof

  1. #1
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    Matricies / equilibrium proof

    Hi guys,

    I am struggling to find a proof for P =
    a c
    b d

    I have done a number of matricies and worked out the equilibrium but cant show how the proof works.

    I would also be keen to see how it works for a 3/3 matricies as well.

    Please help.

    Berwick
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  2. #2
    MHF Contributor

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    Quote Originally Posted by Berwick View Post
    Hi guys,

    I am struggling to find a proof for P =
    a c
    b d

    I have done a number of matricies and worked out the equilibrium but cant show how the proof works.

    I would also be keen to see how it works for a 3/3 matricies as well.

    Please help.

    Berwick
    I don't know what you mean by "equilibrium" for matrices. My first thought was equilibrium points for systems of differential equations but since this is the "Basic Probability and Statistics" section, that seems unlikely!

    Are the entries probabilities? Do the columns add to 1? What is your definition of "equilibrium"?
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