Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Statistics show that at a certain​ university, 90​% of the students who live on campus during a given semester will remain on campus the following​ semester, and 70​% of students living off campus during a given semester will remain off campus the following semester. Let x and y denote the number of students who live on and off campus this​ semester, and let u and v be the corresponding numbers for the next semester. Then the following system of equations can be formed. Complete parts a through c.
 
.9x +.3y = u
.1x .7y = v
(a) Write this system of equations in matrix form.
​(b) Solve the resulting matrix equation for X=
x
y
(c) Suppose​ that, out of a group of 42,000 students, 24,000 currently live on campus and 18,000 live off campus. How many lived on campus last​ semester? How many will live off campus next​ semester? 
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