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 91 residents in location 1, 70 residents in location 2, and 117 residents in location 3. Assume time is measured in years. Find the population in each location after 1 year. E Find the population in each location after 2 years. Now, contemplate what is involved in determining the population after a long time....

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Matrices
Section2.5: Markov Chain
Problem 49E: Consider the Markov chain whose matrix of transition probabilities P is given in Example 7b. Show...
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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 91 residents in location 1, 70 residents in location 2, and 117
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.
Now, contemplate what is involved in determining the population after a long time...
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 91 residents in location 1, 70 residents in location 2, and 117 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. Now, contemplate what is involved in determining the population after a long time...
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