Suppose that 60% of the people who own a GM car buy a GM car for their next vehicle. Also, suppose that 90% of the people who own non-GM cars by a non-GM car for their next vehicle. Let x and y denote the number of GM car owners and non-GM car owners respectively. If u and v denote the corresponding number of GM and non-GM car owners after buying their next car. (a) write a matrix equation relating to x,y, to u,v   (b) of 100 people own a GM car and 200 people own a non-GM car, how many people will own each type of car after their next purchase?

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.6: Rank Of A Matrix And Systems Of Linear Equations
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Suppose that 60% of the people who own a GM car buy a GM car for their next vehicle. Also, suppose that 90% of the people who own non-GM cars by a non-GM car for their next vehicle. Let x and y denote the number of GM car owners and non-GM car owners respectively. If u and v denote the corresponding number of GM and non-GM car owners after buying their next car.

(a) write a matrix equation relating to x,y, to u,v

 

(b) of 100 people own a GM car and 200 people own a non-GM car, how many people will own each type of car after their next purchase?

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