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[M] Budget® Rent A Car in Wichita, Kansas, has a fleet of about 500 cars, at three locations. A car rented at one location may be returned to any of the three locations. The various fractions of cars returned to the three locations are shown in the matrix below. Suppose that on Monday there are 295 cars at the airport (or rented from there), 55 cars at the east side office, and 150 cars at the west side office. What will be the approximate distribution of cars on Wednesday?$\left[\begin{array}{ccc}{.97} & {.05} & {.10} \\ {.00} & {.90} & {.05} \\ {.03} & {.05} & {.85}\end{array}\right]$

312 cars the airport, 58 cars are the east side office, and 130 cars at the west side office

Algebra

Chapter 1

Linear Equations in Linear Algebra

Section 10

Linear Models in Business, Science, and Engineering

Introduction to Matrices

McMaster University

Baylor University

Idaho State University

Lectures

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because so in this problem we have the initial state X zero because to ah, three by one column metrics which represent the amount off the car in each location. And we also have a transition. Metrics am on the middle. This transition metrics is given, and we are looking for eggs to because x zero is amount off the state, um, Monday and we are looking for the state, the state on Wednesday. So the statement Wednesday Muse, a traditional metrics tons the state on Tuesday and the state on Tuesday because the tradition matrix comes the state on Monday. So we have m squared times, um, x zero, the initial state A calculator he caused to on this result, that means after two days, the airport has, um, 312 different cars in the for the eastern location. He has 50 it costs and the for the Western occasion. He has won 30 because so this is

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