Use the Gauss-Seidel iterative method to solve the following system of equations. Remember to show all of your work on your scratch paper. Start with the guess x1=1, x2 = 1, x3 = 1 and compute at least four iterations. 5x₁ + x₂-x3 2x₁ + 6x₂-3x = 15 +4x3 x₂ + 2x₂ x1 = 16 = 11 x2 x3

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Chapter5: Systems Of Equations And Inequalities
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Use the Gauss-Seidel iterative method to solve the following system of equations. Remember to show all of your work on your scratch paper. Start with the guess x1=1, x2 = 1, x3 = 1 and compute at least four iterations.
5x₂ + x₂ = x3
2x₁ + 6x₂-3x
x₁ + 2x- + 4x
3
x1 =
16
= 15
= 11
x2 =
x3
Transcribed Image Text:Use the Gauss-Seidel iterative method to solve the following system of equations. Remember to show all of your work on your scratch paper. Start with the guess x1=1, x2 = 1, x3 = 1 and compute at least four iterations. 5x₂ + x₂ = x3 2x₁ + 6x₂-3x x₁ + 2x- + 4x 3 x1 = 16 = 15 = 11 x2 = x3
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