Consider the system 3x + 7y + 13z = 76 x + 5y + 3z = 28 12x + 3y - 5z = 1 1. Use any direct method you know to solve for x,y and z.
Consider the system 3x + 7y + 13z = 76 x + 5y + 3z = 28 12x + 3y - 5z = 1 1. Use any direct method you know to solve for x,y and z.
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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Question
![Consider the system
3x + 7y + 13z = 76
x + 5y + 3z = 28
12x + 3y - 5z = 1
1. Use any direct method you know to solve for x,y and z.
2. For the Iterative methods, you may use Excel
b. Solve the system (as is) using Gauss-Jacobi with initial solution of (x, y, z) = (1,0,1).
Answer:
Iteration
X
€al₁%
y
€a₂%
Z
1
2
S
4
5
Write your observations from the results
€al,%](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc71897ac-461a-4adf-8bb5-1c421deb4efc%2F946808eb-e867-45d4-a593-23e7a23f7726%2F1p32ej_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider the system
3x + 7y + 13z = 76
x + 5y + 3z = 28
12x + 3y - 5z = 1
1. Use any direct method you know to solve for x,y and z.
2. For the Iterative methods, you may use Excel
b. Solve the system (as is) using Gauss-Jacobi with initial solution of (x, y, z) = (1,0,1).
Answer:
Iteration
X
€al₁%
y
€a₂%
Z
1
2
S
4
5
Write your observations from the results
€al,%
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