For Gauss Elimination, Doolittle and Crout's Method: Correlate the final solutions (X₁, X2, X3). 3x₁ -0.1x₂ -0.2x3 = 7.85 0.1x₁ + 7x₂ -0.3x3 = -19.3 0.3x₁ -0.2x₂ + 10x3 = 71.4
For Gauss Elimination, Doolittle and Crout's Method: Correlate the final solutions (X₁, X2, X3). 3x₁ -0.1x₂ -0.2x3 = 7.85 0.1x₁ + 7x₂ -0.3x3 = -19.3 0.3x₁ -0.2x₂ + 10x3 = 71.4
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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![For Gauss Elimination, Doolittle and Crout's Method: Correlate the final solutions (x1, X2,
х).
3x, - 0.1x2 – 0.2x; = 7.85
0.1x, + 7x2 - 0.3x, = -19.3
0.3x, - 0.2x2 + 10x3 = 71.4
For Thomas Algorithm: Solve the given tridiagonal system by means of Thomas Algorithm
(X1, X2, X3, X4).
X1 + 4x2 = 10
2x, + 10x2 - 4x3 =7
X2 + 8x3 - X4 = 6
X3 - 6x4 = 4
For Gauss Jacobi's and Gauss Seidel Method up to 5th iteration. Use the table below.
3x, - 0.1x2 - 0.2x3 = 7.85
0.1x1 + 7x2 - 0.3x3 = -19.3
0.3x1 - 0.2x2 + 10x3 = 71.4
| Xn
1
3
4](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Feb9bd42c-8c6d-4a13-bf7e-f3735c670086%2F1f940449-e61e-48f7-8b9c-fc0034ace072%2Fwhcofjm_processed.png&w=3840&q=75)
Transcribed Image Text:For Gauss Elimination, Doolittle and Crout's Method: Correlate the final solutions (x1, X2,
х).
3x, - 0.1x2 – 0.2x; = 7.85
0.1x, + 7x2 - 0.3x, = -19.3
0.3x, - 0.2x2 + 10x3 = 71.4
For Thomas Algorithm: Solve the given tridiagonal system by means of Thomas Algorithm
(X1, X2, X3, X4).
X1 + 4x2 = 10
2x, + 10x2 - 4x3 =7
X2 + 8x3 - X4 = 6
X3 - 6x4 = 4
For Gauss Jacobi's and Gauss Seidel Method up to 5th iteration. Use the table below.
3x, - 0.1x2 - 0.2x3 = 7.85
0.1x1 + 7x2 - 0.3x3 = -19.3
0.3x1 - 0.2x2 + 10x3 = 71.4
| Xn
1
3
4
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