Use 3 iterationsUse Gauss-Seidel iteration to find the root X3 = (x, , x,, x,) of the following system of equations with initial guess X0) = (0,0,0)(3)5x, - x2 +2x3 = 123x, +8x2-2x3 = - 25X4+X2+ 4x3= 6

Given system of equation with initial guess X0=0,0,0 is 5x1−x2+2x3=123x1+8x2−2x3=−25x1+x2+4x3=6 We…

Answered: Use 3 iterations Use Gauss-Seidel…

Use 3 iterations Use Gauss-Seidel iteration to find the root X3) = (x,, x,, x3) of the following system of equations with initial guess X0) = (0,0,0) 5x,- x2+2x3 = 12 3x,+8x2-2x, = - 25 X,+x2+4x3 =6

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.2: Direct Methods For Solving Linear Systems

Problem 4CEXP

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Question

Use 3 iterations
Use Gauss-Seidel iteration to find the root X3 = (x, , x,, x,) of the following system of equations with initial guess X0) = (0,0,0)
(3)
5x, - x2 +2x3 = 12
3x, +8x2-2x3 = - 25
X4+X2+ 4x3= 6

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