Use the Jacobi method to find approximate solutions to xi + 6x2 – 8x3 = -6.6 10a - 3r2+ 6x3 = 8.6 *1 + 15x2 – 9x3 = 0.8 %3D with the initial values 1 = 0.5.2 = 0.5 and r3 = 1 and iterating until error is less than 10%. Round-off answer to 5 decimal places. Reminder: Arrange the system to be Diagonally Dominant before iteration. none of the choices

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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Which among the choices is the correct answer?

Use the Jacobi method to find approximate
solutions to
a1 + 6x2 – 8ra = -6.6
10a1 - 3r2 + 6x3 = 8.6
æ1 + 15x2 – 9x3 = 0.8
%3D
with the initial values 1 = 0.5. 2 = 0.5 and
az = 1 and iterating until error is less than 10 %.
Round-off answer to 5 decimal places.
Reminder: Arrange the system to be Diagonally
Dominant before iteration.
none of the choices
O x1 = 0.29030, x2 = 0.83885, x3 1.44869
OX 0.23677, x2 0.92945, X3 1.52922
O x1 = 0.23670 , x2 = 0.93143, x3 = 1.53270
O x1 = 0.24244, x2 0.90319, x3 1.49043
Transcribed Image Text:Use the Jacobi method to find approximate solutions to a1 + 6x2 – 8ra = -6.6 10a1 - 3r2 + 6x3 = 8.6 æ1 + 15x2 – 9x3 = 0.8 %3D with the initial values 1 = 0.5. 2 = 0.5 and az = 1 and iterating until error is less than 10 %. Round-off answer to 5 decimal places. Reminder: Arrange the system to be Diagonally Dominant before iteration. none of the choices O x1 = 0.29030, x2 = 0.83885, x3 1.44869 OX 0.23677, x2 0.92945, X3 1.52922 O x1 = 0.23670 , x2 = 0.93143, x3 = 1.53270 O x1 = 0.24244, x2 0.90319, x3 1.49043
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