Consider the system 1. Use any direct method you know to solve for x,y and z. 3x + 7y + 13z = 76 x + 5y + 3z = 28 12x + 3y - 5z = 1

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Chapter6: Linear Systems
Section6.2: Guassian Elimination And Matrix Methods
Problem 86E
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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
a. Solve the system (as is) using Gauss-Seidel with initial solution of (x, y, z) = (1,0,1).
Answer:
Iteration
x
€₁₁%
y
€a₂%
Z
1
2
S
4
5
Write your observations from the results
€a₂%
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 a. Solve the system (as is) using Gauss-Seidel with initial solution of (x, y, z) = (1,0,1). Answer: Iteration x €₁₁% y €a₂% Z 1 2 S 4 5 Write your observations from the results €a₂%
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