Use the Gauss-Seidel method to find approximate solutions to -21 + 10x2 - 2x3 = -30 2x2 + 15r3 = 28 5 -2x2+x3 = 18 with the initial values 1 = 2 , x2 =-2 and r3 =1 and iterating until the error is less than 0.05%. Round-off intermediate computed values to 8 decimal places. Round-off answer to 7 decimal places. Reminder: Arrange the system to be Diagonally Dominant before iteration.
Use the Gauss-Seidel method to find approximate solutions to -21 + 10x2 - 2x3 = -30 2x2 + 15r3 = 28 5 -2x2+x3 = 18 with the initial values 1 = 2 , x2 =-2 and r3 =1 and iterating until the error is less than 0.05%. Round-off intermediate computed values to 8 decimal places. Round-off answer to 7 decimal places. Reminder: Arrange the system to be Diagonally Dominant before iteration.
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
I need it asap, thanks
![Use the Gauss-Seidel method to find approximate solutions to
-21 + 102
2x3 =-30
2x2 + 15x3 = 28
5x1
2x2 +3 = 18
with the initial values 1 = 2 , x2 = -2 and r3
=1 and iterating until the error is less than 0.05%.
Round-off intermediate computed values to 8 decimal places.
Round-off answer to 7 decimal places.
Reminder: Arrange the system to be Diagonally Dominant before iteration.
O x = 2.4251496 X2 = -2.2335328, X3 = 1.4071857
O none of the choices
O x1 = 2.4249254 x2 = -2.2335559, X3 = 1.4071975
O x1 = 2.4251381 x2 = -2.2335329, X3 = 1.4071864
O X1 = 2.4251115 x2 = -2.2335418, x3 = 1.4071870](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faf582bec-9c2b-4d4c-ac19-7fac49b03710%2F21a0822f-6719-4700-8bf2-c49d8479c273%2Ftv45j9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Use the Gauss-Seidel method to find approximate solutions to
-21 + 102
2x3 =-30
2x2 + 15x3 = 28
5x1
2x2 +3 = 18
with the initial values 1 = 2 , x2 = -2 and r3
=1 and iterating until the error is less than 0.05%.
Round-off intermediate computed values to 8 decimal places.
Round-off answer to 7 decimal places.
Reminder: Arrange the system to be Diagonally Dominant before iteration.
O x = 2.4251496 X2 = -2.2335328, X3 = 1.4071857
O none of the choices
O x1 = 2.4249254 x2 = -2.2335559, X3 = 1.4071975
O x1 = 2.4251381 x2 = -2.2335329, X3 = 1.4071864
O X1 = 2.4251115 x2 = -2.2335418, x3 = 1.4071870
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![Advanced Engineering Mathematics](https://www.bartleby.com/isbn_cover_images/9780470458365/9780470458365_smallCoverImage.gif)
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
![Numerical Methods for Engineers](https://www.bartleby.com/isbn_cover_images/9780073397924/9780073397924_smallCoverImage.gif)
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
![Introductory Mathematics for Engineering Applicat…](https://www.bartleby.com/isbn_cover_images/9781118141809/9781118141809_smallCoverImage.gif)
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
![Advanced Engineering Mathematics](https://www.bartleby.com/isbn_cover_images/9780470458365/9780470458365_smallCoverImage.gif)
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
![Numerical Methods for Engineers](https://www.bartleby.com/isbn_cover_images/9780073397924/9780073397924_smallCoverImage.gif)
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
![Introductory Mathematics for Engineering Applicat…](https://www.bartleby.com/isbn_cover_images/9781118141809/9781118141809_smallCoverImage.gif)
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
![Mathematics For Machine Technology](https://www.bartleby.com/isbn_cover_images/9781337798310/9781337798310_smallCoverImage.jpg)
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
![Basic Technical Mathematics](https://www.bartleby.com/isbn_cover_images/9780134437705/9780134437705_smallCoverImage.gif)
![Topology](https://www.bartleby.com/isbn_cover_images/9780134689517/9780134689517_smallCoverImage.gif)