statistics show that 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. (a) Write the system of equations in matrix form. (b)Solve the resulting matrix equation for X=[x y] (c) suppose that, out of a group of 21,000 students, 12000 currently live on campus and 9000 live off campus. how many lived on campus last semester? how many will live off campus next semester?
statistics show that 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. (a) Write the system of equations in matrix form. (b)Solve the resulting matrix equation for X=[x y] (c) suppose that, out of a group of 21,000 students, 12000 currently live on campus and 9000 live off campus. how many lived on campus last semester? how many will live off campus next semester?
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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statistics show that 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.
(a) Write the system of equations in matrix form.
(b)Solve the resulting matrix equation for X=[x
y]
(c) suppose that, out of a group of 21,000 students, 12000 currently live on campus and 9000 live off campus. how many lived on campus last semester? how many will live off campus next semester?
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