1. LetP2coll col colX0 =3 230be the transition matrix for a Markov chain with three states. Let[120]18090be the initial state vector for the population.(i) Compute x₁ and x2,What proportion of the state 1 population will be in state 1 after two steps?(iii) What proportion of the state 2 population will be in state 3 after two steps?(iv) Find the steady-state probability vector, the steady-state vector, and discuss the asymptoticbehaviour of the population.

note : Since you have posted question with multiple sub parts, we will provide the solution only to…

Answered: (i) Compute x₁ and x2, (ii) What…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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(i) Compute x₁ and x2, (ii) What proportion of the state 1 population will be in state 1 after two steps? (iii) What proportion of the state 2 population will be in state 3 after two steps?