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X1 + 5x2 + 3x3 = 30 3x1 + 7x2 + 13x3 = 80 : 2 12x1 + 3x2 – 5x3 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?

X1 + 5x2 + 3x3 = 30 3x1 + 7x2 + 13x3 = 80 : 2 12x1 + 3x2 – 5x3 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
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 using the Gauss-Seidel Method.
X1 + 5x2 + 3x3 = 30 3x1 + 7x2 + 13x3 = 80 12x1 + 3x2 – 5x3 = 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?
Transcribed Image Text:X1 + 5x2 + 3x3 = 30 3x1 + 7x2 + 13x3 = 80 12x1 + 3x2 – 5x3 = 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?
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