Consider the network of streets with intersections A, B, C, D and E below. The arrows indicate the direction of traffic flow along the one-way streets, and the numbers refer to the exact number of cars observed to enter or leave A, B, C, D and E during one minute. Each of the variables a,b,c,d,e,f denotes the unknown number of cars which passes along the indicated streets during the same period. Which one of the following equations and constrains describe the traffic flow at the intersection A? 8 B а e 18 12 A - → f d E- >D 4 6 18 +a – b+ f = 0 and a > 0, b > 0, f > 0 18 + a – b – f = 0 and a > 0, b > 0, ƒ > 0

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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.