Consider the system of linear equations: -x1 + 2x2 + 3x3 + x4 = 3 2x1 - 4x2 + x3 + 2x4 = -1 -3x1 + 8x2 + 4x3 - x4 = 6 x1 + 4x2 + 7x3 - 2x4 = -4 i) Solve the systems of equations for x1, x2, x3, x4 utitilizing the Gauss-Jordan method.
Consider the system of linear equations: -x1 + 2x2 + 3x3 + x4 = 3 2x1 - 4x2 + x3 + 2x4 = -1 -3x1 + 8x2 + 4x3 - x4 = 6 x1 + 4x2 + 7x3 - 2x4 = -4 i) Solve the systems of equations for x1, x2, x3, x4 utitilizing the Gauss-Jordan method.
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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Consider the system of linear equations:
-x1 + 2x2 + 3x3 + x4 = 3
2x1 - 4x2 + x3 + 2x4 = -1
-3x1 + 8x2 + 4x3 - x4 = 6
x1 + 4x2 + 7x3 - 2x4 = -4
i) Solve the systems of equations for x1, x2, x3, x4 utitilizing the Gauss-Jordan method.
ii) Obtain the Lower & Upper triangular matrices for the system of linear equations.
iii) Use the LU factorization obtained in iii) to solve for x1, x2, x3, x4.
N.b : Don't kindly lift answers from other experts solution.
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