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An engineer is posed with a problem on an electrical system whose current flow is modelled by the system of linear equations. The system has current I, for j = 1,2 and 3. For the system to function properly, all I's must exist. 21₂ +51₂ = 7 71₁+1₂-21₂ = 6 21₁ +37₂ +81₂ = 13 a) Find the I's using the Gauss Jordan's method and determine if the electrical system will function under the above linear model.

An engineer is posed with a problem on an electrical system whose current flow is modelled by the system of linear equations. The system has current I, for j = 1,2 and 3. For the system to function properly, all I's must exist. 21₂ +51₂ = 7 71₁+1₂-21₂ = 6 21₁ +37₂ +81₂ = 13 a) Find the I's using the Gauss Jordan's method and determine if the electrical system will function under the above linear model.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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An engineer is posed with a problem on an electrical system whose current flow is modelled by the system of linear equations. The system has current 1, for j = 1,2 and 3. For the system to function properly, all I's must exist. 21₂ +51₂ = 7 71₁ + 12-21₂ = 6 21₁ +37₂ +81₂ = 13 a) Find the I's using the Gauss Jordan's method and determine if the electrical system will function under the above linear model. c) Will you advice the engineer to solve the above linear system using any of the iterative solution technique? Explain. Derive Newton-Cote quadrature formula and use it to derive Simpson's three-eight rule for numerical integration.
Transcribed Image Text:An engineer is posed with a problem on an electrical system whose current flow is modelled by the system of linear equations. The system has current 1, for j = 1,2 and 3. For the system to function properly, all I's must exist. 21₂ +51₂ = 7 71₁ + 12-21₂ = 6 21₁ +37₂ +81₂ = 13 a) Find the I's using the Gauss Jordan's method and determine if the electrical system will function under the above linear model. c) Will you advice the engineer to solve the above linear system using any of the iterative solution technique? Explain. Derive Newton-Cote quadrature formula and use it to derive Simpson's three-eight rule for numerical integration.
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