Finite Mathematics for the Manager...

12th Edition
Soo T. Tan
ISBN: 9781337405782



Finite Mathematics for the Manager...

12th Edition
Soo T. Tan
ISBN: 9781337405782
Textbook Problem

In Exercise 9-16, find the steady state vector for the transition matrix.

[ 0.6 0.3 0.1 0.4 0.4 0.4 0 0.3 0.5 ]

To determine

The steady state vector of the matrix [].



If T is a regular stochastic matrix, then the Steady state distribution vector X can be found by solving the vector equation,


together with the condition that the sum of the elements of the vector X should be equal to 1.


Consider the matrix,




Be a steady state vector associated with the Markov process, where x and y are to be determined. The condition TX=X translates into the matrix equation,


Solve the above matrix equation,


Equivalently, the linear system of equation for above matrix equation is,

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