Solve the following equation by Gauss-Seidel Method up to 3 iterations and find the value of (x1,x2,X3,X4) 3x1+ 12x2+2x3+ X4=4 -11x1+ 2x₂+ x3 +4x4--10 5x1 -X2 +2x3+ 8x4=5 6x1 -2x2+ 13x3+ 2×4=6\\ \) with initial guess (0,0,0,0) Select one: a. (0.937881,0.09195,0.0378,0.04087) b. (0.93881,0.07196,0.0378,0.04087) O C. (-0.261296,-0.8501,0.266205,-0.739271) d. (-0.261296,-0.859901,0.266205,0.739271) .

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 the following equation by Gauss-Seidel
Method up to 3 iterations and find the value
of (X1,X2,X3,X4)
3x1+ 12x2 +2x3+ X4=4
-11x1+ 2x2+ X3 +4x4=-10
5x1 -X2 +2x3+ 8x4=5
6x1 -2x2+ 13x3+ 2x4=6\\ \)
with initial guess (0,0,0,0)
Select one:
a. (0.937881,0.09195,0.0378,0.04087)
b. (0.93881,0.07196,0.0378,0.04087)
O . (-0.261296,-0.8501,0.266205,-0.739271)
d. (-0.261296,-0.859901,0.266205,0.739271)
Transcribed Image Text:Solve the following equation by Gauss-Seidel Method up to 3 iterations and find the value of (X1,X2,X3,X4) 3x1+ 12x2 +2x3+ X4=4 -11x1+ 2x2+ X3 +4x4=-10 5x1 -X2 +2x3+ 8x4=5 6x1 -2x2+ 13x3+ 2x4=6\\ \) with initial guess (0,0,0,0) Select one: a. (0.937881,0.09195,0.0378,0.04087) b. (0.93881,0.07196,0.0378,0.04087) O . (-0.261296,-0.8501,0.266205,-0.739271) d. (-0.261296,-0.859901,0.266205,0.739271)
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