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2 Only three brands of beer (beer 1, beer 2, and beer 3) are available for sale in Metropolis. From time to time, people try one or another of these brands. Suppose that at the beginning of each month, people change the beer they are drinking according to the following rules: 30% of the people who prefer beer 1 switch to beer 2. 20% of the people who prefer beer 1 switch to beer 3. 30% of the people who prefer beer 2 switch to beer 3. 30% of the people who prefer beer 3 switch to beer 2. 10% of the people who prefer beer 3 switch to beer 1. For i = 1, 2, 3, let x, be the number who prefer beer i at the beginning of this month and y, be the number who pre- fer beer i at the beginning of next month. Use matrix mul- tiplication to relate the following: E A X2

2 Only three brands of beer (beer 1, beer 2, and beer 3) are available for sale in Metropolis. From time to time, people try one or another of these brands. Suppose that at the beginning of each month, people change the beer they are drinking according to the following rules: 30% of the people who prefer beer 1 switch to beer 2. 20% of the people who prefer beer 1 switch to beer 3. 30% of the people who prefer beer 2 switch to beer 3. 30% of the people who prefer beer 3 switch to beer 2. 10% of the people who prefer beer 3 switch to beer 1. For i = 1, 2, 3, let x, be the number who prefer beer i at the beginning of this month and y, be the number who pre- fer beer i at the beginning of next month. Use matrix mul- tiplication to relate the following: E A X2

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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2 Only three brands of beer (beer 1, beer 2, and beer 3) are available for sale in Metropolis. From time to time, people try one or another of these brands. Suppose that at the beginning of each month, people change the beer they are drinking according to the following rules: 30% of the people who prefer beer 1 switch to beer 2. 20% of the people who prefer beer 1 switch to beer 3. 30% of the people who prefer beer 2 switch to beer 3. 30% of the people who prefer beer 3 switch to beer 2. 10% of the people who prefer beer 3 switch to beer 1. For i = 1, 2, 3, let x, be the number who prefer beer i at the beginning of this month and y, be the number who pre- fer beer i at the beginning of next month. Use matrix mul- tiplication to relate the following: E A X2
Transcribed Image Text:2 Only three brands of beer (beer 1, beer 2, and beer 3) are available for sale in Metropolis. From time to time, people try one or another of these brands. Suppose that at the beginning of each month, people change the beer they are drinking according to the following rules: 30% of the people who prefer beer 1 switch to beer 2. 20% of the people who prefer beer 1 switch to beer 3. 30% of the people who prefer beer 2 switch to beer 3. 30% of the people who prefer beer 3 switch to beer 2. 10% of the people who prefer beer 3 switch to beer 1. For i = 1, 2, 3, let x, be the number who prefer beer i at the beginning of this month and y, be the number who pre- fer beer i at the beginning of next month. Use matrix mul- tiplication to relate the following: E A X2
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