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Set One Set Two Set Three 8x + 3y + z = 12 x + y + 5z = 7 -óx + 7z = 1 2x + 4y - z = 5 -x + 3y + 5z = x + 4y - z = 4 -2x + 4y - 5z = 2y - z = Зх + у - 2 %3 4

Set One Set Two Set Three 8x + 3y + z = 12 x + y + 5z = 7 -óx + 7z = 1 2x + 4y - z = 5 -x + 3y + 5z = x + 4y - z = 4 -2x + 4y - 5z = 2y - z = Зх + у - 2 %3 4

Advanced Engineering Mathematics
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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11.15

11.15 of the following three sets of linear equations, identify the set(s) that you could not solve using an iterative method such as Gauss-Seidel. Show using any number of iterations that is neces- sary that your solution does not converge. Clearly state your con- vergence criteria (how you know it is not converging). Set One Set Two Set Three 8x + 3y + z = 12 x + y + 5z = 7 -óx + 7z = 1 2x + 4y - z = 5 -x + 3y + 5z = 7 x + 4y - z = 4 -2x + 4y - 5z = -3 2y - z = 1 3x + y - z = 4
Transcribed Image Text:11.15 of the following three sets of linear equations, identify the set(s) that you could not solve using an iterative method such as Gauss-Seidel. Show using any number of iterations that is neces- sary that your solution does not converge. Clearly state your con- vergence criteria (how you know it is not converging). Set One Set Two Set Three 8x + 3y + z = 12 x + y + 5z = 7 -óx + 7z = 1 2x + 4y - z = 5 -x + 3y + 5z = 7 x + 4y - z = 4 -2x + 4y - 5z = -3 2y - z = 1 3x + y - z = 4
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