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 Find A so that Ax = X4 150 X6 X5 25 A B x2 175 C (a) Set up a linear system whose solution provides the unknown flow rates. where x = 200 X1 x 2 x3 X4 X5 x6 and y 25 175 200 150 200 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.
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 Find A so that Ax = X4 150 X6 X5 25 A B x2 175 C (a) Set up a linear system whose solution provides the unknown flow rates. where x = 200 X1 x 2 x3 X4 X5 x6 and y 25 175 200 150 200 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.
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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