problem solving For Gauss Elimination, Doolittle and Crout's Method: Correlate the final solutions (x1, X2,х).3x, - 0.1x2 – 0.2x; = 7.850.1x, + 7x2 - 0.3x, = -19.30.3x, - 0.2x2 + 10x3 = 71.4For Thomas Algorithm: Solve the given tridiagonal system by means of Thomas Algorithm(X1, X2, X3, X4).X1 + 4x2 = 102x, + 10x2 - 4x3 =7X2 + 8x3 - X4 = 6X3 - 6x4 = 4For Gauss Jacobi's and Gauss Seidel Method up to 5th iteration. Use the table below.3x, - 0.1x2 - 0.2x3 = 7.850.1x1 + 7x2 - 0.3x3 = -19.30.3x1 - 0.2x2 + 10x3 = 71.4| Xn134

given system of equation 3x1-0.1x2-0.2x3=7.850.1x1+7x2-0.3x3=-19.30.3x1-0.2x2+10x3=71.4 using gauss…

Answered: For Gauss Elimination, Doolittle and…

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

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 2CEXP

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Question

problem solving

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
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