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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.

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.5: Iterative Methods For Solving Linear Systems
Problem 23EQ
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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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