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Network Analysis The figure shows the flow of traffic(in

Elementary Linear Algebra | 8th Edition | ISBN: 9781305658004 | Authors: Ron Larson ISBN: 9781305658004 238

Solution for problem 1.3.22 Chapter 1.3

Elementary Linear Algebra | 8th Edition

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Elementary Linear Algebra | 8th Edition | ISBN: 9781305658004 | Authors: Ron Larson

Elementary Linear Algebra | 8th Edition

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Problem 1.3.22

Network Analysis The figure shows the flow of traffic(in vehicles per hour) through a network of streets.(a) Solve this system for xi, i = 1, 2, . . . , 5.(b) Find the traffic flow when x2 = 200 and x3 = 50.(c) Find the traffic flow when x2 = 150 and x3 = 0.

Step-by-Step Solution:
Step 1 of 3

Math 340 Lecture – Introduction to Ordinary Differential Equations – March 28 , 2016 th What We Covered: 1. Worksheet 9 a. Highlights i. We went over a lot of the problems in class but the rest of the work sheet was homework so I won’t be giving the answers on here 2. However, the general way to solve the problems on the work sheet and for the upcoming quiz is: a. Assuming you have the equation = where A is a square matrix i. First, find the eigenvalue = (−1) det − = 0 ii. From there we can find the eigenvector by ( − ) b. We can then format the final solution exponentially:

Step 2 of 3

Chapter 1.3, Problem 1.3.22 is Solved
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Textbook: Elementary Linear Algebra
Edition: 8
Author: Ron Larson
ISBN: 9781305658004

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Network Analysis The figure shows the flow of traffic(in