Consider the transition matrix P = for a Markov chain with three states. For this matrix: %3D 3 1 3 1 4 3 Part (a): Find the steady state probability vector. Part (b): Find the proportion of the initial state 1 population that will be in state 3 after two steps.

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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Consider the transition matrix P =
1
for a Markov chain with three states. For this matrix:
3
3
1
3
4
1
3
3
Part (a): Find the steady state probability vector.
Part (b): Find the proportion of the initial state 1 population that will be in state 3 after two steps.
Transcribed Image Text:1 3 Consider the transition matrix P = 1 for a Markov chain with three states. For this matrix: 3 3 1 3 4 1 3 3 Part (a): Find the steady state probability vector. Part (b): Find the proportion of the initial state 1 population that will be in state 3 after two steps.
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