SOLUTION: This is a Markov Chain Problem, and I simply just don't understand the process of finding steady state vectors. So if someone could work this out & explain it that'd be great F

Algebra ->  Matrices-and-determiminant -> SOLUTION: This is a Markov Chain Problem, and I simply just don't understand the process of finding steady state vectors. So if someone could work this out & explain it that'd be great F      Log On


   

Question 926315: This is a Markov Chain Problem, and I simply just don't understand the process of finding steady state vectors. So if someone could work this out & explain it that'd be great
Find the steady state vector for the following transition matrix:
T=[0.2 0.9]
[0.8 0.1]
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!


which leads to,
-0.8x%2B0.9y=0
0.8x=0.9y
So if x=0.9%2Alambda,y=0.8%2Alambda
So then,
%28matrix%282%2C1%2Cx%2Cy%29%29=lambda%2A%28matrix%282%2C1%2C0.9%2C0.8%29%29
and the steady state vector would be,
V%5Bss%5D=%28matrix%282%2C1%2C0.9%2C0.8%29%29