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The accompanying figure shows known flow rates of hydrocarbons into and out of a network of pipes at an oil refinery. 200 E X3 D 150 X5 X6 200 25 A B A175 C (a) Set up a linear system whose solution provides the unknown flow rates. 25 X2 175 X 3 Find A so that A ? ý where ? Jand y = X4 200 150 X5 200 X6 Form the system so that the first equation represents node A, the second equation node B, etc. Then take all the variable to one side such that all the constants are on one side and positive. From the equations form the required matrices and enter the appropriate values for A below. A =

The accompanying figure shows known flow rates of hydrocarbons into and out of a network of pipes at an oil refinery. 200 E X3 D 150 X5 X6 200 25 A B A175 C (a) Set up a linear system whose solution provides the unknown flow rates. 25 X2 175 X 3 Find A so that A ? ý where ? Jand y = X4 200 150 X5 200 X6 Form the system so that the first equation represents node A, the second equation node B, etc. Then take all the variable to one side such that all the constants are on one side and positive. From the equations form the required matrices and enter the appropriate values for A below. A =

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
Section2.4: Applications
Problem 15EQ
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The accompanying figure shows known flow rates of hydrocarbons into and out of a network of pipes at an oil refinery. 200 E X3 D 150 X4 X5 200 25 B X2 A A175 C (a) Set up a linear system whose solution provides the unknown flow rates. 25 X 2 175 X 3 Find A so that A } ỷ where Jand y = X4 200 150 X5 200 X6 Form the system so that the first equation represents node A, the second equation node B, etc. Then take all the variable to one side such that all the constants are on one side and positive. From the equations form the required matrices and enter the appropriate values for A below. i A =
Transcribed Image Text:The accompanying figure shows known flow rates of hydrocarbons into and out of a network of pipes at an oil refinery. 200 E X3 D 150 X4 X5 200 25 B X2 A A175 C (a) Set up a linear system whose solution provides the unknown flow rates. 25 X 2 175 X 3 Find A so that A } ỷ where Jand y = X4 200 150 X5 200 X6 Form the system so that the first equation represents node A, the second equation node B, etc. Then take all the variable to one side such that all the constants are on one side and positive. From the equations form the required matrices and enter the appropriate values for A below. i A =
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