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October 29th, 2013, 07:09 PM  #1 
Newbie Joined: Sep 2013 Posts: 23 Thanks: 0  Steady state vector for the Markov 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 30th, 2013, 01:20 PM  #2  
Global Moderator Joined: May 2007 Posts: 6,756 Thanks: 696  Re: Steady state vector for the Markov Matrix Quote:
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October 31st, 2013, 11:48 AM  #3 
Math Team Joined: Sep 2007 Posts: 2,409 Thanks: 6  Re: Steady state vector for the Markov Matrix
Don't use "x" to represent a vector and then to represent one of the components of the vector! Yes, if is a "steady state vector" for this matrix, we must have which gives .5x+ .8y= x, .5x+ .2y= y .5x+ .8y= 0, .5x .8y= 0. Those are just multiples of each other so as long as , it is a steady state vector. 

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markov, matrix, state, steady, vector 
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