Explanation Approach: If T is a regular stochastic matrix, then the Steady state distribution vector X can be found by solving the vector equation, T X = X together with the condition that the sum of the elements of the vector X should be equal to 1. Calculation: Consider the matrix, [ 4 5 2 5 1 5 3 5 ] Let, X = [ x y ] Be a steady state vector associated with the Markov process, where x and y are to be determined. The condition T X = X translates into the matrix equation, [ 4 5 2 5 1 5 3 5 ] [ x y ] = [ x y ] Solve the above matrix equation, [ 4 5 x + 2 5 y 1 5 x + 3 5 y ] = [ x y ] Equivalently, the linear system of equation for above matrix equation is, 0

Finite Mathematics For The Managerial, Life, And Social Sciences

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ISBN: 9781337606592

Author: Tan

Publisher: CENGAGE L

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Chapter 9.2, Problem 10E

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The steady state vector of the matrix [45251535].

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Chapter 9 Solutions

Finite Mathematics For The Managerial, Life, And Social Sciences

Ch. 9.1 - What is a finite stochastic process? What can you...Ch. 9.1 - Prob. 2CQ Ch. 9.1 - Consider a transition matrix T for a Markov chain...Ch. 9.1 - Prob. 1E Ch. 9.1 - Prob. 2E Ch. 9.1 - Prob. 3E Ch. 9.1 - Prob. 4E Ch. 9.1 - Prob. 5E Ch. 9.1 - Prob. 6E Ch. 9.1 - Prob. 7E

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The steady state vector of the matrix [ 4 5 2 5 1 5 3 5 ] .

Solution Summary: The author explains that if T is a regular stochastic matrix, the Steady state distribution vector X can be found by solving the vector equation.

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The steady state vector of the matrix [45251535].

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