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Solve the following system 2x₁6x₂x3 = -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.

Solve the following system 2x₁6x₂x3 = -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.

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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Solve the following system 2x16x₂x3 = -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 X1 Xx2 Round-off intermediate values to 6 decimal places and the answer to 4 decimal places. I How many iterations were made to solve the system?
Transcribed Image Text:Solve the following system 2x16x₂x3 = -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 X1 Xx2 Round-off intermediate values to 6 decimal places and the answer to 4 decimal places. I How many iterations were made to solve the system?
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