Solve the system x + 4y + 7z = 10 4x + 8y + 4z = 8 10x + 3y - 2z = 10 by using Jacobi Method with x = yº = z° = 0.0000. (Correct to 4D and check for accuracy). Answer (Approximate): x = 1.4359, y = -0.4615 and z = 1.4872 Answer (Closed-Form): x = 56/39, y = -6/13 and z = 58/39

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question
help
H.W 4.4
Solve the system
x + 4y + 7z = 10
4x + 8y + 4z = 8
10x + 3y - 2z = 10
yo = zº = 0.0000. (Correct to 4D and check for accuracy).
by using Jacobi Method with xº =
Answer (Approximate): x = 1.4359, y = -0.4615 and z = 1.4872
= 56/39, y = -6/13 and z= 58/39
Answer (Closed-Form): x =
Transcribed Image Text:H.W 4.4 Solve the system x + 4y + 7z = 10 4x + 8y + 4z = 8 10x + 3y - 2z = 10 yo = zº = 0.0000. (Correct to 4D and check for accuracy). by using Jacobi Method with xº = Answer (Approximate): x = 1.4359, y = -0.4615 and z = 1.4872 = 56/39, y = -6/13 and z= 58/39 Answer (Closed-Form): x =
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
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…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,