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3. Given the linear system x, +8x, + 2x, = -3 - 2x, +x2 +5x3 =7 %3D 4x, +x2 - x3 = 1 Use the Gauss-Seidel iterative method with X")=0.1k to approximate the solution. Compute 3 iterations and calculate ɛa in each iteration using maximum magnitude norm (||X | -).

3. Given the linear system x, +8x, + 2x, = -3 - 2x, +x2 +5x3 =7 %3D 4x, +x2 - x3 = 1 Use the Gauss-Seidel iterative method with X")=0.1k to approximate the solution. Compute 3 iterations and calculate ɛa in each iteration using maximum magnitude norm (||X | -).

Linear Algebra: A Modern Introduction
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 3BEXP
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take k as 1

(for example, a value is given as ?. ?? in the question would be
equal to ?. ? × ? = ?. ?)

3. Given the linear system X, +8x, + 2x, =-3 - 2x, + x2 +5x3 =7 4x, +x, - x3 = 1 Use the Gauss-Seidel iterative method with X")=0.1k to approximate the solution. Compute 3 iterations and calculate ɛa in each iteration using maximum magnitude norm (||x||-). Hint: First, check whether the method is guaranteed to converge or not. If necessary, rearrange the order of equations to ensure convergence.
Transcribed Image Text:3. Given the linear system X, +8x, + 2x, =-3 - 2x, + x2 +5x3 =7 4x, +x, - x3 = 1 Use the Gauss-Seidel iterative method with X")=0.1k to approximate the solution. Compute 3 iterations and calculate ɛa in each iteration using maximum magnitude norm (||x||-). Hint: First, check whether the method is guaranteed to converge or not. If necessary, rearrange the order of equations to ensure convergence.
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