Using Gauss-Seidel Method, obtain the solution to the system; x1 + 5x2 + 3x3 = 30 %3D 3x1 + 7x2 + 13x3 = = 80 12x1 + 3x2 – 5x3 2 With x, x", x" = [1, 2, 3] until the approximate error is %3D less than 1%. Round-off intermediate values to 7 decimal places and the answer to 5 decimal places. How many iterations were done to find the answer? NOTE: Please make the solution clear and readable. Give the full solution not in tabulated form, thank you!

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question
Hi! Kindly answer this with full solution (not in tabulated form) take your time answering this for I know it is indeed time consuming. Just please do it within any time of the day today. Thank you!
Using Gauss-Seidel Method, obtain the solution to the system;
X1 + 5x2 + 3x3
30
Зx1 + 7x2 + 13х3
= 80
12х1 + 3x2 — 5хз — 2
With x, x, x"| = [1 , 2, 3] until the approximate error is
less than 1%.
Round-off intermediate values to 7 decimal places and the answer
to 5 decimal places.
How many iterations were done to find the answer?
NOTE: Please make the solution clear and readable.
Give the full solution not in tabulated form, thank you!
Transcribed Image Text:Using Gauss-Seidel Method, obtain the solution to the system; X1 + 5x2 + 3x3 30 Зx1 + 7x2 + 13х3 = 80 12х1 + 3x2 — 5хз — 2 With x, x, x"| = [1 , 2, 3] until the approximate error is less than 1%. Round-off intermediate values to 7 decimal places and the answer to 5 decimal places. How many iterations were done to find the answer? NOTE: Please make the solution clear and readable. Give the full solution not in tabulated form, thank you!
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps with 2 images

Blurred answer
Similar questions
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,