2. 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 + 3x25x3 = 1 1 +5x2 + 3x3 = 28 3x₁ + 7x2 + 13x3 = 76 Ea₁ X2 Ea2 x2 Eag

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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2. 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
x1 +5x2 + 3x3 = 28
3x1 + 7x2 + 13x3 = 76
Ea₁
=
x2
Ea₂
X2
Eag
Transcribed Image Text:= 2. 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 x1 +5x2 + 3x3 = 28 3x1 + 7x2 + 13x3 = 76 Ea₁ = x2 Ea₂ X2 Eag
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