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Math Help - Steady state vector for markox matrix

  1. #1
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    Steady state vector for markox matrix

    I have to find the steady state vector for matrix is M= [.5 .8
    .5 .2]

    Would the vector [.8
    .5]
    be in the steady state because [.5 .8
    .5 .2] times x = x so the system reduces down to -.5x+.8y=0 ?
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  2. #2
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    Re: Steady state vector for markox matrix

    Hey grandmaquis84.

    When you say markox matrix do you mean markov matrix? Are you trying to find the long-time steady state distribution?
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  3. #3
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    Re: Steady state vector for markox matrix

    Yes sorry Markov is what I meant! The question only said to find the steady state vector for the matrix so I think the answer is just going to be a 2x1 matrix but I'm not sure how to do it
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  4. #4
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    Re: Steady state vector for markox matrix

    Yes, \begin{bmatrix}.5 & .8 \\ .5 & .2\end{bmatrix}\begin{bmatrix}.8 \\ .5\end{bmatrix}= \begin{bmatrix}.4+ .4 \\ .4+ .1\end{bmatrix}= \begin{bmatrix}.8 \\ .5\end{bmatrix}
    So that is the "steady state" vector.
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  5. #5
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    Re: Steady state vector for markox matrix

    Oh great thank you both very much
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