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
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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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
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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