Consider the system of linear equations X2 + 2x3 X4 -1 X1 X2 X3 -X1 X2 + X3 + 3.x4 1 - Xị + 2x2 X4 9 Use Matlab to find the LU decomposition of the coefficient matrix A and then solve the resulting triangular system using forward and backward substitutions programs. (You need to provide the codes)

Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter2: Basic Linear Algebra
Section2.3: The Gauss-jordan Method For Solving Systems Of Linear Equations
Problem 9P
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Consider the system of linear equations
X2 + 2x3
X4
-1
X1
X2
X3
-X1
X2 +
X3
+ 3.x4
1
-
Xị + 2x2
X4
9
Use Matlab to find the LU decomposition of the coefficient matrix A and then solve
the resulting triangular system using forward and backward substitutions
programs. (You need to provide the codes)
Transcribed Image Text:Consider the system of linear equations X2 + 2x3 X4 -1 X1 X2 X3 -X1 X2 + X3 + 3.x4 1 - Xị + 2x2 X4 9 Use Matlab to find the LU decomposition of the coefficient matrix A and then solve the resulting triangular system using forward and backward substitutions programs. (You need to provide the codes)
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