Solve the following system 2x1 – 6a2 – x3 = -38 — Зат — 2, + 73 — 34 -8x1 + x2 – 2x3 20 Using the Gauss-Seidel Method until approximate error is less than 0.5% with the first approximations as a1 = -2, a2 = 4, x3 = 3 Round-off intermediate values to 6 decimal places and the final answer to 4 decimals places. How many iterations were made to solve the system?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.2: Direct Methods For Solving Linear Systems
Problem 3AEXP
icon
Related questions
Question

please answer this as soon possible, thanks a lot!

Solve the following system
2x1 – 6a2 – x3 = -38
— Зат — 2, + 73 — 34
-8x1 + x2 – 2x3
20
Using the Gauss-Seidel Method until approximate error is less than 0.5% with the first approximations as
a1 = -2, a2 = 4, x3 = 3
Round-off intermediate values to 6 decimal places and the final answer to 4 decimals places. How many
iterations were made to solve the system?
Transcribed Image Text:Solve the following system 2x1 – 6a2 – x3 = -38 — Зат — 2, + 73 — 34 -8x1 + x2 – 2x3 20 Using the Gauss-Seidel Method until approximate error is less than 0.5% with the first approximations as a1 = -2, a2 = 4, x3 = 3 Round-off intermediate values to 6 decimal places and the final answer to 4 decimals places. How many iterations were made to solve the system?
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax