3. Using Jacobi Method, obtain the solution to the system 21 + 522 + 33 = 30 3x1 + 7x2 + 13x3 = 80 12x1 + 3x2 – 5x3 = 2 with a", x", x" = [1, 2, 3] until the approximate error is less than 1%. (0) „(0) „(0) Round-off intermediate values to 7 decimal places and the answer to 5 decimal places. How many iterations were done to find the answer?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 9T
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3. Using Jacobi Method, obtain the solution to the system
2i + 5x2 + 3x3 = 30
3x1 + 7x2 + 13x3 = 80
12x1 + 3x2 – 5x3 = 2
(0)
(0)
,(0)
", x", x" = [1, 2, 3] until the approximate error is less than 1%.
with
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:3. Using Jacobi Method, obtain the solution to the system 2i + 5x2 + 3x3 = 30 3x1 + 7x2 + 13x3 = 80 12x1 + 3x2 – 5x3 = 2 (0) (0) ,(0) ", x", x" = [1, 2, 3] until the approximate error is less than 1%. with 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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