A car rental company has two locations: Orlando and Tampa. Every week, of the cars in Orlando, 60% remain in Orlando while 40% are rented and returned in Tampa. of the cars in Tampa, 70% remain in Tampa while 30% are rented and returned in Orlando. 40% 60% Orlando Tampa 70% 30% Let vr = k be a vector representing the number of cars in Orlando and Tampa in week k. | Ok (a) Find the transition matrixT such that vk+1 = Tvk· (b) This week there are 150 cars in Orlando and 220 cars in Tampa. How many cars will there be in each city in two weeks? (c) This week there are 150 cars in Orlando and 220 cars in Tampa. How many cars were there in each city two weeks ago?

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Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.