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Math Help - Hi! :) Algebra...

  1. #1
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    Hi! :) Algebra...

    Hi, really new to this, but cant fgure this question out and need yer help on it! thanks! Hi! :) Algebra...-snapshot_20120405_1.jpg
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  2. #2
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    Re: Hi! :) Algebra...

    I'll start you off with the transition matrix. The (1,1) entry is the probability an X voter stays X, the (1,2) entry is the probability an X voter changes to Y, the (2,1) entry is the probability a Y voter changes to X, and the (2,2) entry is the probability a Y voter stays Y :

    3/4 1/4
    1/3 2/3
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  3. #3
    MHF Contributor

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    Re: Hi! :) Algebra...

    well that's the hard part, since now all one has to do is calculate 0 = det(xI - A) =

    (x - 3/4)(x - 2/3) - (1/12), and solve for x.
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