5x₁ - 2x₂ + 3xn = -1-3x₁ + 9x₂ + x₂ = 22x₁x₂7xn = 3a) Apply the Jacobi method to solve the above system of linear equations.Continue iterations until two successive approximations are identical whenrounded to three significant digits.b) Apply the Gauss -Seidelc) Write the methods as mat lab codeBonus: Write Jacobi/Gauss- Seidel methods in matrix form.

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Answered: 5x₁2x₂ + 3x = -1 -3x₁ + 9x₂ + x₂ = 2…

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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5x₁2x₂ + 3x = -1 -3x₁ + 9x₂ + x₂ = 2 2x₁-x₂7x₁ = 3 a) Apply the Jacobi method to solve the above system of linear equations. Continue iterations until two successive approximations are identical when rounded to three significant digits. b) Apply the Gauss-Seidel