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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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
d. Apply the principle of diagonal dominance and solve the system again. Use Gauss-Jacobi with
an error tolerance of 0.0001%
Answer:
Iteration
x
€₁₁%
y
€a₂%
Z
€a₂%
1
2
S
4
Write your observations from the results
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