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Which matrix equation correctly represents the network?

Which matrix equation correctly represents the network?

Delmar's Standard Textbook Of Electricity
Delmar's Standard Textbook Of Electricity
7th Edition
ISBN:9781337900348
Author:Stephen L. Herman
Publisher:Stephen L. Herman
Chapter29: Dc Generators
Section: Chapter Questions
Problem 1PA: You are working as an electrician in a large steel manufacturing plant, and you are in the process...
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Which matrix equation correctly represents the network? [1 1 00 0 10 -1 0 0 01 0 −1 −1 00 0 0 1 00 1 1 0 [1 1 0 1 0 1 0 -1 0 0 01 0 0 -1 00 0 1 1 00 1 0 0 [1 1 10 O 0 1 00 00 [1 1 10 O 0 1 00 0 0 0 0 0 -1 1 0 00 -1 0 -1 1 1 0 0 x1 X2 X3 X4 X5 x1 x2 X3 X4 X5 x1 x2 X3 X4 x5 0 0 0 -1 1 0 0 −1 −1 0 0 1 X4 1 0 0 X5 x1 x2 X3 = = = = 70 0 0 50 20 70 0 0 50 20 70 0 0 50 20 70 0 0 50 20
Transcribed Image Text:Which matrix equation correctly represents the network? [1 1 00 0 10 -1 0 0 01 0 −1 −1 00 0 0 1 00 1 1 0 [1 1 0 1 0 1 0 -1 0 0 01 0 0 -1 00 0 1 1 00 1 0 0 [1 1 10 O 0 1 00 00 [1 1 10 O 0 1 00 0 0 0 0 0 -1 1 0 00 -1 0 -1 1 1 0 0 x1 X2 X3 X4 X5 x1 x2 X3 X4 X5 x1 x2 X3 X4 x5 0 0 0 -1 1 0 0 −1 −1 0 0 1 X4 1 0 0 X5 x1 x2 X3 = = = = 70 0 0 50 20 70 0 0 50 20 70 0 0 50 20 70 0 0 50 20
The figure below shows a network of one-way streets, together with nodes A, B, C, D and E. There are 70 cars entering node A from the left, 50 of them exit through node D to the right, and the remaining 20 exit through node E to the right. The variables ₁ through 5 represent the numbers of cars moving along the paths in the network. A X₁ X₂ B C X4 X3 X5 E D
Transcribed Image Text:The figure below shows a network of one-way streets, together with nodes A, B, C, D and E. There are 70 cars entering node A from the left, 50 of them exit through node D to the right, and the remaining 20 exit through node E to the right. The variables ₁ through 5 represent the numbers of cars moving along the paths in the network. A X₁ X₂ B C X4 X3 X5 E D
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Given a network of the one-way street. The variables through x1 to x5 represent the number of cars moving along the paths in the network.

To find the matrix equation  that correctly represents the network

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