numerical solutions to ce problems Given the following simultaneous equations:-2x1+ 2x2 + 9x3 + 1x4 + -1 = 05x1 + -1x2 + -5x3+ 5x4 + -7 = 03x1 + -1x2 + 3x3 + 1x4 + -6 = 05x1 + -10x2 + 10x3+ 1x4 + 10 = 0Solve using Gauss-Seidel Method with relaxation factor 0.3. Use a tolerance of 0.0000001.

For better understanding, we use a, b, c and d at place of x1, x2, x3 and x4, respectively.

Answered: Given the following simultaneous…

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 3BEXP

See similar textbooks

Similar questions

Consider the system of linear equations in x and y. ax+by=ecx+dy=f Under what conditions will the system have exactly one solution?
solve the following linear equations with gauss seidel method x1 + 7x2 - 4x3 = 4 x1 -8x2 - 2x3 = 9 3x1 -7x2 - 4x3 = 7
a)Solve the following systems of equations by Gauss-Jordan Method. x1 + 2x2 - 3x3 = 42x1 + 4x2 - 6x3=8x1 - 2x2 + 5x3 = 4
Find the solution to following system of equations by Gauss-Seidel Method,accurate to five (5) decimal digits. Start with x1 = x2 = x3 = x4 = x5 = x6 = 0.
Use the Gauss-Seidel method to solve the following system until the percent relative error fallsbelow ea = 5%. −3x1 + x2 + 12x3 = 506x1 − x2 − x3 = 36x1 + 9x2 + x3 = 40
Solve the following system of linear equation, using Gaussian Elimination method x1-2x2+3x3-4x4=-10 -5x1+6x2-7x3+8x4=18 9x1-x2+2x3-3x4=1 -4x1+5x2-6x3+7x4=16
Solve the following system of equations using the Gauss elimination method. 4x1+3x2+2x3+x4=1 3x1+4x2+3x3+2x4=1 2x1+3x2+4x3+3x4=-1 x1+2x2+3x3+4x4=-1
solve the liner system : 2X + 3Y -Z = 6 2X - Y + 2Z = -8 3X - Y + Z =-7 Using the Gauss-Jordan method
Use Gauss Jorden method to solve and also verify the solution. 5x-2y+z=2 3x+2y+7z=3 x+y+3z=2
6x1-2x2+2x3+4x4=16 12x1-8x2+6x3+10x4=26 3x1-13x2+9x3+3x4=-19 -6x1+4x2+x3-18x4=-34 , Solve by gauss elimination method
Solve the system of equations given in below by Gauss-Seidel method using the initial guesses x1(0) = x2(0) = x3(0) = 0 and an error less than 0.01%.
Solve the following systems of linear equations using Gauss Elimination Method. Use fractions for non-whole numbers.x + 7y - 9z = 188x - 3y + 4z = -12 -2x + 5y - 6z = 16

SEE MORE QUESTIONS

Recommended textbooks for you

Linear Algebra: A Modern Introduction

Algebra

ISBN:

9781285463247

Author:

David Poole

Publisher:

Cengage Learning

Elementary Linear Algebra (MindTap Course List)

Algebra

ISBN:

9781305658004

Author:

Ron Larson

Publisher:

Cengage Learning

Algebra: Structure And Method, Book 1

Algebra

ISBN:

9780395977224

Author:

Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:

McDougal Littell

Linear Algebra: A Modern Introduction

Algebra

ISBN:

9781285463247

Author:

David Poole

Publisher:

Cengage Learning

Elementary Linear Algebra (MindTap Course List)

Algebra

ISBN:

9781305658004

Author:

Ron Larson

Publisher:

Cengage Learning

Algebra: Structure And Method, Book 1

Algebra

ISBN:

9780395977224

Author:

Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:

McDougal Littell

SEE MORE TEXTBOOKS

Given the following simultaneous equations: -2x1 + 2x2 + 9x3 + 1x4 + -1 = 0 5x1 + -1x2+ -5x3+5x4 +-7 0 3x1 + -1x2 + 3x3 + 1x4 + -6 = 0 5x1 + -10x2 + 10x3+ 1x4+ 10 = 0 Solve using Gauss-Seidel Method with relaxation factor 0.3. Use a tolerance of 0.0000001.