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(a) Solve the following system of equations by Gauss elimination method. Employ necessary techniques to improve the solution of the system. 40 – 2x, = 2x, 30 = 10x, - 5x, 4x2 + 12x, = 20 (b) Use the best technique of iteration method to find the solution of the system in (a). Perform 3 iterations and use (-1,-2,-3) as the initial approximation of (x, X2, X3).

(a) Solve the following system of equations by Gauss elimination method. Employ necessary techniques to improve the solution of the system. 40 – 2x, = 2x, 30 = 10x, - 5x, 4x2 + 12x, = 20 (b) Use the best technique of iteration method to find the solution of the system in (a). Perform 3 iterations and use (-1,-2,-3) as the initial approximation of (x, X2, X3).

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter1: Systems Of Linear Equations
Section1.2: Guassian Eliminationa And Guass-jordan Elimination
Problem 54E
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(a) Solve the following system of equations by Gauss elimination method. Employ necessary techniques to improve the solution of the system. 40 – 2x2 = 2x3 30 = 10x, – 5x, 4x2 + 12x, = 20 (b) Use the best technique of iteration method to find the solution of the system in (a). Perform 3 iterations and use (-1,-2,-3) as the initial approximation of (x1, X2, Xx3). (c) How can we further improve the solution in (b)?
Transcribed Image Text:(a) Solve the following system of equations by Gauss elimination method. Employ necessary techniques to improve the solution of the system. 40 – 2x2 = 2x3 30 = 10x, – 5x, 4x2 + 12x, = 20 (b) Use the best technique of iteration method to find the solution of the system in (a). Perform 3 iterations and use (-1,-2,-3) as the initial approximation of (x1, X2, Xx3). (c) How can we further improve the solution in (b)?
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