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1. Solve the following system 2х — 6х2 — хз — — 38 —3x1 — х2 + 7xз 3D 34 -8x1 + x2 – 2x3 = 20 using the Jacobi Method until the approximate error is less than 0.5% with the first approximations as Х 3D —2, X2 %3D 4 , Хз — 3 Round-off intermediate values to 6 decimal places - and the answer to 4 decimal places. How many iterations were made to solve the system?

1. Solve the following system 2х — 6х2 — хз — — 38 —3x1 — х2 + 7xз 3D 34 -8x1 + x2 – 2x3 = 20 using the Jacobi Method until the approximate error is less than 0.5% with the first approximations as Х 3D —2, X2 %3D 4 , Хз — 3 Round-off intermediate values to 6 decimal places - and the answer to 4 decimal places. How many iterations were made to solve the system?

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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1. Solve the following system 2x1 — бх2 — Xз —D —38 -3x1 - x2 + 7x3 = 34 -8x1 + x2 – 2x3 = 20 using the Jacobi Method until the approximate error is less than 0.5% with the first approximations as x1 = -2, x2 = 4 , x3 = 3 Round-off intermediate values to 6 decimal places - and the answer to 4 decimal places. How many iterations were made to solve the system?
Transcribed Image Text:1. Solve the following system 2x1 — бх2 — Xз —D —38 -3x1 - x2 + 7x3 = 34 -8x1 + x2 – 2x3 = 20 using the Jacobi Method until the approximate error is less than 0.5% with the first approximations as x1 = -2, x2 = 4 , x3 = 3 Round-off intermediate values to 6 decimal places - and the answer to 4 decimal places. How many iterations were made to solve the system?
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