2. Using Gauss-Seidel Method, obtain the solution to the system X1 +5x2 + 3xX3 = 30 3x1 + 7x2 + 13x3 = 80 12х + 3x, — 5xз —D2 (0) = 2 (0) 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?
2. Using Gauss-Seidel Method, obtain the solution to the system X1 +5x2 + 3xX3 = 30 3x1 + 7x2 + 13x3 = 80 12х + 3x, — 5xз —D2 (0) = 2 (0) 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?
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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Question
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![2. Using Gauss-Seidel Method, obtain the solution to
the system
X1 + 5x2 + 3x3 = 30
Зx + 7x2 + 13xз 3D 80
12х + 3x, — 5х; — 2
(0)
with [xf" , xº", xº°] = [1, 2, 3] until the
(0)
approximate error is less than 1%.
6.
Round-off intermediate values to 7 decimal places
and the answer to 5 decimal places.
How many iterations were done to find the answer?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcc52eff1-8892-4ed6-afdd-6b88867768f7%2Feebe47e6-22af-496c-8827-9eaf7c81f291%2Fblm97im_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2. Using Gauss-Seidel Method, obtain the solution to
the system
X1 + 5x2 + 3x3 = 30
Зx + 7x2 + 13xз 3D 80
12х + 3x, — 5х; — 2
(0)
with [xf" , xº", xº°] = [1, 2, 3] until the
(0)
approximate error is less than 1%.
6.
Round-off intermediate values to 7 decimal places
and the answer to 5 decimal places.
How many iterations were done to find the answer?
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