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Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.2: Direct Methods For Solving Linear Systems
Problem 3CEXP
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Consider the system
-3x + y + 6z = 20
8x + 2y + 3z = 51
2x + 5y + z = 23
Use (0,0,0) as initial solution.
QUESTION No. 1
Perform the first 4
iterations of Gauss-
Seidel Method and
write the values of x,
y, z.
Perform the first 4
iterations of Gauss-
Jacobi Method and
write the values of x,
y, z.
On the basis of Absolute True Error, which set of values give a more accurate answer?
Transcribed Image Text:Consider the system -3x + y + 6z = 20 8x + 2y + 3z = 51 2x + 5y + z = 23 Use (0,0,0) as initial solution. QUESTION No. 1 Perform the first 4 iterations of Gauss- Seidel Method and write the values of x, y, z. Perform the first 4 iterations of Gauss- Jacobi Method and write the values of x, y, z. On the basis of Absolute True Error, which set of values give a more accurate answer?
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