Show that every 2 x 2 stochastic matrix has at least one steady-state vector. Any such matrix can be written in the formwhere a and B are constants between 0 and 1. (There are two linearly1- в.independent steady state vectors if Q =B= 0. Otherwise, there is only one.)

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Answered: Show that every 2 x 2 stochastic matrix…

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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Show that every 2 x 2 stochastic matrix has at least one steady-state vector. Any such matrix can be written in the form where a and B are constants between 0 and 1. (There are two linearly 1- в. independent steady state vectors if Q = B = 0. Otherwise, there is only one.)