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.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question

linear algrebra

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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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