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Suppose there are three major centers for Move-It-Yourself trucks. Every month half of

Chapter 5, Problem 5.3.12

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QUESTION:

Suppose there are three major centers for Move-It-Yourself trucks. Every month half of those in Boston and in Los Angeles go to Chicago, the other half stay here they are, and the trucks in Chicago are split equally between Boston and Los Angeles Set up the 3 by 3 transition matrix A, and find the steady state u corresponding to the eigenvalue = 1.

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QUESTION:

Suppose there are three major centers for Move-It-Yourself trucks. Every month half of those in Boston and in Los Angeles go to Chicago, the other half stay here they are, and the trucks in Chicago are split equally between Boston and Los Angeles Set up the 3 by 3 transition matrix A, and find the steady state u corresponding to the eigenvalue = 1.

ANSWER:

Step 1 of 10

As it is known that to find the initial value, we have several methods, and one of those methods is eigenvalues of eigenvectors. These eigenvalues also help to find the solution of the system.

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