Consider the migration (Markov) matrix A = [0.7 0 0.27 0.1 0.4 0.2 0.2 0.6 0.6 Suppose that, initially, there are 96 residents in location 1, 82 residents in location 2, and 151 residents in location 3. Assume time is measured in years. Find the population in each location after 1 year. Find the population in each location after 2 years.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.7: The Inverse Of A Matrix
Problem 30E
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Consider the migration (Markov) matrix A =
0.7
0 0.2
0.1 0.4 0.2
0.2 0.6 0.6
Suppose that, initially, there are 96 residents in location 1, 82 residents in location 2, and 151
residents in location 3. Assume time is measured in years.
Find the population in each location after 1 year.
Find the population in each location after 2 years.
Transcribed Image Text:Consider the migration (Markov) matrix A = 0.7 0 0.2 0.1 0.4 0.2 0.2 0.6 0.6 Suppose that, initially, there are 96 residents in location 1, 82 residents in location 2, and 151 residents in location 3. Assume time is measured in years. Find the population in each location after 1 year. Find the population in each location after 2 years.
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