# Steady state vector for markox matrix

• October 29th 2013, 08:59 PM
grandmarquis84
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 ?
• October 29th 2013, 09:57 PM
chiro
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?
• October 30th 2013, 07:40 AM
grandmarquis84
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
• October 30th 2013, 08:37 AM
HallsofIvy
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.
• October 30th 2013, 09:29 PM
grandmarquis84
Re: Steady state vector for markox matrix
Oh great thank you both very much