A Markov chain with matrix of transition probabilities is given below: [0.6 0.2 0.1 P = | 0.1 0.7 0.1 0.3 0.1 0.8 100 a) Find P2 X for the state matrix X = 100 800 b) Find the steady state matrix X for P. Use decimals in your answer. Give an exact answer.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Matrices
Section2.5: Markov Chain
Problem 49E: Consider the Markov chain whose matrix of transition probabilities P is given in Example 7b. Show...
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A Markov chain with matrix of transition probabilities is given below:
0.6 0.2
0.1
P =| 0.1
0.7
0.1
0.3
0.1
0.8
100
a) Find P2X for the state matrix X
100
800
b) Find the steady state matrix X for P. Use decimals in your answer. Give an exact answer.
Transcribed Image Text:A Markov chain with matrix of transition probabilities is given below: 0.6 0.2 0.1 P =| 0.1 0.7 0.1 0.3 0.1 0.8 100 a) Find P2X for the state matrix X 100 800 b) Find the steady state matrix X for P. Use decimals in your answer. Give an exact answer.
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