Let X₁, X₁,... be the Markov chain on state space {1,2,3,4} with transition matrix 1/2 1/2 0 0 1/7 0 3/7 3/7 1/3 1/3 1/3 0 0 2/3 1/6 1/6/

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Matrices
Section2.5: Markov Chain
Problem 47E: Explain how you can determine the steady state matrix X of an absorbing Markov chain by inspection.
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Without doing any more calculations, what can you say about p_1,1^(100) and p_2,1^(100)?

Without doing any more
calculations, what can you say about
(100)
(100)?
and P2,1
Pi,1
Transcribed Image Text:Without doing any more calculations, what can you say about (100) (100)? and P2,1 Pi,1
Let X₁, X₁,... be the Markov chain on state space {1,2,3,4} with
transition matrix
/1/2 1/2 0 0
1/7 0 3/7 3/7
0
0
1/3 1/3 1/3
2/3 1/6 1/6/
Transcribed Image Text:Let X₁, X₁,... be the Markov chain on state space {1,2,3,4} with transition matrix /1/2 1/2 0 0 1/7 0 3/7 3/7 0 0 1/3 1/3 1/3 2/3 1/6 1/6/
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