Using Jacobi Method, obtain the solution to the system; X1 + 5x2 + 3x3 = 30 3x1 + 7x2 + 13x3 = 80 12x1 + 3x2 – 5x3 = 2 %3D 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
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Using Jacobi Method, obtain the solution to the system;
X1 + 5x2 + 3x3
= 30
Зx1 + 7x2 + 13х3 — 80
12х1 + 3x2 — 5x3
= 2
With x, x, x| =
[1 , 2, 3] until the approximate error is
X.
(0)*
(0)
(0)
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 Jacobi Method, obtain the solution to the system; X1 + 5x2 + 3x3 = 30 Зx1 + 7x2 + 13х3 — 80 12х1 + 3x2 — 5x3 = 2 With x, x, x| = [1 , 2, 3] until the approximate error is X. (0)* (0) (0) 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!
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