# MA111Wk2Lect1 - main assumption is that the total fow into...

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KSR 1 MA111 Week 2 Lecture 1

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KSR 2 Example Solve using the Gauss-Jordan Elimination method 1 2 3 1 2 3 1 2 3 2 9 2 4 3 1 3 6 5 0 x x x x x x x x x
KSR 3 Applications of Systems of Linear Equations

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KSR 4 Example A chemistry laboratory can be used by 38 students at one time. The lab had 16 stations, some set up for 2 students each and the others set up for 3 students each. How many are there of each kind of work station ?
KSR 5 Network Analysis Networks composed of branches and junctions are used as models in fields as diverse as economics, traffic analysis, and electrical engineering.

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KSR 6 In such models, the main assumption

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Unformatted text preview: main assumption is that the total fow into a junction is EQUAL to the total fow out oF the junction. 16 1 x 2 x KSR 7 So, we see that each of such junction generates a linear equation. And collectively, we get a system of linear equation, which can be solved to analyze the Fow through a network. KSR 8 Example The fow oF tra±c (in vehicles/ hr) through a network oF streets is shown. Solve the system for x i Find the traffic flow when x 5 =50, x 3 =100 KSR 9 Example The fow oF tra±c (in vehicles/ hr) through a network oF streets is shown. Solve the system for x i...
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