k = 0,1,2 using the starting point (0, 0.5, 0.5, 0). 5x, + x,+ 2x 3-x4 = p - x,-6x, + 3x , +x , = 1 X,- x, +7x3 + 2x 4 = 10 2x , +x, -x3 +12x , = -1 %3D

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter10: Matrices
Section10.1: Solution Of Linear Systems
Problem 41E
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P = 7

solve it by: (iv) Gauss-Seidel itration (three iterations) 

Solve the following system by: (i) Gaussian elimination (ii) Gauss-Jordon elimination
(iii) Jacobi-Iteration (three iterations) (iv) Gauss-Seidel Iteration (three iterations).
Note: For the Gauss-elimination and the Gauss-Jordon elimination do one row operation in each step.
For the Jacobi and the Gauss-Seidel iterations, develop the scheme and then compute the iterations for
k = 0,1,2 using the starting point (0, 0.5, 0.5, 0).
5x, + x,+ 2x ,3-X, = p
- x,-6x, + 3x; +x , = 1
x,- x, +7x; + 2x , = 10
2x, +x2 -x3 +12x , =-1
-x3 +12x4 = -1
Transcribed Image Text:Solve the following system by: (i) Gaussian elimination (ii) Gauss-Jordon elimination (iii) Jacobi-Iteration (three iterations) (iv) Gauss-Seidel Iteration (three iterations). Note: For the Gauss-elimination and the Gauss-Jordon elimination do one row operation in each step. For the Jacobi and the Gauss-Seidel iterations, develop the scheme and then compute the iterations for k = 0,1,2 using the starting point (0, 0.5, 0.5, 0). 5x, + x,+ 2x ,3-X, = p - x,-6x, + 3x; +x , = 1 x,- x, +7x; + 2x , = 10 2x, +x2 -x3 +12x , =-1 -x3 +12x4 = -1
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