4) Consider the system of linear equations: X1+5x2 + 3x3 = 4 X1-X2+6x3 = 16 2x1 + x2 %3D %3D = 5 a) Write the system as Ax=b b) Solve the system using Gaussian Elimination with backward substitution. c) What is the determinant of A. d) Perform one step of the Gauss-Seidel Method on this system starting with initial guess 1

4) Consider the system of linear equations: X1+5x2 + 3x3 = 4 X1-X2+6x3 = 16 2x1 + x2 %3D %3D = 5 a) Write the system as Ax=b b) Solve the system using Gaussian Elimination with backward substitution. c) What is the determinant of A. d) Perform one step of the Gauss-Seidel Method on this system starting with initial guess 1

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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Question

4) Consider the system of linear equations:
X1 + 5x2 + 3x3
X1- X2+ 6x3 = 16
2x, + x2
= 4
= 5
a) Write the system as AX3D6
b) Solve the system using Gaussian Elimination with backward substitution.
c) What is the determinant of A.
d) Perform one step of the Gauss-Seidel Method on this system starting with initial
()
guess

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