Consider the following transition matrix. [0.2 0.3 0.5 0 0.1 0.9 0.5 0 0.5 a) Which states are transient? Why? b) Which states are recurrent? Why? c) Identify all closed sets of states. d) Is this chain ergodic?

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter6: Power Flows
Section: Chapter Questions
Problem 6.22P
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Consider the following transition matrix.

[0.2 0.3 0.5

0 0.1 0.9

0.5 0 0.5

a) Which states are transient? Why?

b) Which states are recurrent? Why?

c) Identify all closed sets of states. d) Is this chain ergodic?

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