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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- Oct 29th 2013, 07:59 PMgrandmarquis84Steady 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 ? - Oct 29th 2013, 08:57 PMchiroRe: 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? - Oct 30th 2013, 06:40 AMgrandmarquis84Re: 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

- Oct 30th 2013, 07:37 AMHallsofIvyRe: Steady state vector for markox matrix
Yes, $\displaystyle \begin{bmatrix}.5 & .8 \\ .5 & .2\end{bmatrix}\begin{bmatrix}.8 \\ .5\end{bmatrix}= \begin{bmatrix}.4+ .4 \\ .4+ .1\end{bmatrix}= \begin{bmatrix}.8 \\ .5\end{bmatrix}$

So that is the "steady state" vector. - Oct 30th 2013, 08:29 PMgrandmarquis84Re: Steady state vector for markox matrix
Oh great thank you both very much