Science:Math Exam Resources/Courses/MATH221/April 2010/Question 12 (a)
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Question 12 (a) 

Suppose that the yearly movement of people between Alberta, BC, and Manitoba is given as follows: 5% of the people in Alberta move to BC, 5% move to Manitoba, and the rest remain 7% of the people in BC move to Alberta, 2% move to Manitoba, and the rest remain 6% of the people in Manitoba move to Alberta, 7% move to BC, and the the rest remain. Write a matrix representing the movement of people between the 3 provinces 
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Hint 

Science:Math Exam Resources/Courses/MATH221/April 2010/Question 12 (a)/Hint 1 
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Solution 

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Please rate my easiness! It's quick and helps everyone guide their studies. We can set up a matrix where each column represents the number of people who move from a given province to another. This matrix can be set up as follows:
Using the numbers provided, we end up with:
Hitting a column vector with will give us the new populations of each province. 