Answered: A state vector X for a three-state…

A state vector X for a three-state Markov chain is such that the system is as likely to be in state 2 as in state 3 and is five times as likely to be in state 1 as in 2. Find the state vector X.

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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Question

A state vector X for a three-state Markov chain is such that the system is as likely to be in state 2 as in state 3 and is five times as likely to be in state 1 as in 2. Find the state vector X.

Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.

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