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Solved: PROBLEM 12Ea. Find the general traffic pattern in

Linear Algebra and Its Applications | 5th Edition | ISBN: 9780321982384 | Authors: David C. Lay, Steven R. Lay, Judi J. McDonald

Problem 12E Chapter 1.6

Linear Algebra and Its Applications | 5th Edition

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Linear Algebra and Its Applications | 5th Edition | ISBN: 9780321982384 | Authors: David C. Lay, Steven R. Lay, Judi J. McDonald

Linear Algebra and Its Applications | 5th Edition

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Problem 12E

a. Find the general traffic pattern in the freeway network shown in the figure. (Flow rates are in cars/minute.)b. Describe the general traffic pattern when the road whose flow is x4 is closed.c. When x4 = 0, what is the minimum value of x1

Step-by-Step Solution:

Solution Step 1:We get equations from each of the four nodes,plus one equation for the total.Step 2:Rearranging the equation into standard form(and ignoring the last one,which is always satisfied),we getWe then reduce the augmented matrix Then reduced row echelon form is the general solution is

Step 3 of 4

Chapter 1.6, Problem 12E is Solved
Step 4 of 4

Textbook: Linear Algebra and Its Applications
Edition: 5th
Author: David C. Lay, Steven R. Lay, Judi J. McDonald
ISBN: 9780321982384

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