Use the Gauss-Seidel method to find approximate solutions to -21 + 3x2 + 23 = 5 2x1 + 2x2 + 5x3 1 4x1+2-a3 = 5
Use the Gauss-Seidel method to find approximate solutions to -21 + 3x2 + 23 = 5 2x1 + 2x2 + 5x3 1 4x1+2-a3 = 5
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Which among the choices is the correct answer?
![Use the Gauss-Seidel method to find approximate
solutions to
-21 + 3x2 + r3 = 5
2x1 + 2a2 + 5x3 = 1
4x1 +2- r3 = 5
starting with O as initial values of x and iterating
until error is less than 5%.
Round-off intermediate computed values to 8
decimal places.
Round-off answer to 6 decimal places.
Reminder: Arrange the system to be Diagonally
Dominant before iteration.
Ox1 = 0.487847, x2 = 2.114468, x3 = -0.840926
none of the choices
X1 = 0.507809, x2 = 2.119738, x3 = -0.851019
O x1 = 0.511152, x2 2.117359, x3 =-0.851404
Ox1 = 0.507311, x2 2.119443 , X3 -0.850702](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0a1916f7-43d2-4b69-9945-f566d2ffbf83%2Fd2829a22-65a9-4598-9282-e42da5859b21%2Fbu4jp5h_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Use the Gauss-Seidel method to find approximate
solutions to
-21 + 3x2 + r3 = 5
2x1 + 2a2 + 5x3 = 1
4x1 +2- r3 = 5
starting with O as initial values of x and iterating
until error is less than 5%.
Round-off intermediate computed values to 8
decimal places.
Round-off answer to 6 decimal places.
Reminder: Arrange the system to be Diagonally
Dominant before iteration.
Ox1 = 0.487847, x2 = 2.114468, x3 = -0.840926
none of the choices
X1 = 0.507809, x2 = 2.119738, x3 = -0.851019
O x1 = 0.511152, x2 2.117359, x3 =-0.851404
Ox1 = 0.507311, x2 2.119443 , X3 -0.850702
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