Using Gauss Seidel Method, Solve for the Roots of the Linear system below. Assume initial values: x₁ : 1; x₂ = 0; x3 1. Tabulate your answers like the table below. Set a stopping criterion of 1% for all unknowns. 12x1 + 3x₂5x3 = 1 x1 +5x2 + 3x3 = 28 3x1 + 7x2 + 13x3 = 76 =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Using Gauss Seidel Method, Solve for the Roots of the Linear system
below. Assume initial values: x₁ = 1; x₂ = 0; x3 = 1. Tabulate your
answers like the table below. Set a stopping criterion of 1% for all
unknowns.
Iteration
X1
12x₁ + 3x2 - 5x3 = 1
1 +5x2 + 3x3 = 28
3x1 + 7x2 + 13x3 = 76
Εαι
X2
Ea₂
x2
Eag
Transcribed Image Text:Using Gauss Seidel Method, Solve for the Roots of the Linear system below. Assume initial values: x₁ = 1; x₂ = 0; x3 = 1. Tabulate your answers like the table below. Set a stopping criterion of 1% for all unknowns. Iteration X1 12x₁ + 3x2 - 5x3 = 1 1 +5x2 + 3x3 = 28 3x1 + 7x2 + 13x3 = 76 Εαι X2 Ea₂ x2 Eag
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