Housing Trends Statistics show that at a certain university, 70% of the students who live...

Housing Trends Statistics show that at a certain university, 70% of the students who live on campus during a given semester will remain on campus the following semester, and 90% 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,

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(a) Write this system of equations in matrix form.

(b) Solve the resulting matrix equation for .

(c) Suppose that, out of a group of 9000 students, 6000 currently live on campus and 3000 live off campus. How many lived on campus last semester? How many will live off campus next semester?