Read carefully, answer correctly and indicate the subpart your answering SECTION I: DIRECT METHODS IN SOLVING SYSTEMS OF LINEAR EQUATIONS1. Find the solution of the system of linearequation using GAUSS-JORDAN ELIMINATION. If the results are not reducible tofractions, write the values up to 6 decimal places.2. Solve the same system using Cramer's Rule.The Augmented matrix is as follows:32 -8 -1-59434-13 21-7-23210in equation form3w + 2x - 8y - z = -5Ow + 9x + 4y +3z = 4- 13w + 2x + 6y +z = -7- 2w + 3x + 2y + 10z = 0SECTION II : ITERATIVE METHODS IN SOLVING SYSTEMS OF LINEAR EQUATIONS1. Find the solution of the system of linearequation using JACOBI ITERATION. STOP at the 5th Iteration. Compute theABSOLUTE ERROR for each iteration. Show the working equation and write thesolution for each iteration very clearly. If the results are not reducible to fractions,write the values up to 6 decimal places.2. Find the solution of the system of linearequation using GAUSS-SEIDEL ITERATION. STOP at the 5th Iteration. Compute theABSOLUTE ERROR for each iteration. Show the working equation and write thesolution for each iteration very clearly. If the results are not reducible to fractions,write the values up to 6 decimal places.The Augmented matrix is as follows:-13 21-743432 -8 -1-5-23210 | 0in equation form- 13w + 2x +6y +z = -7Ow + 9x + 4y + 3z = 4Зw + 2x — 8у -z %3D —5- 2w + 3x + 2y + 10z = 0

As per the company rule, we are supposed to solve one problem from a set of multiple problems.…

1. Find the solution of the system of linear equation using GAUSS-JORDAN ELIMINATION. If the results are not reducible to fractions, write the values up to 6 decimal places. 2. Solve the same system using Cramer's Rule. The Auamented matriv is as felle USI

1. Find the solution of the system of linear equation using GAUSS-JORDAN ELIMINATION. If the results are not reducible to fractions, write the values up to 6 decimal places. 2. Solve the same system using Cramer's Rule. The Auamented matriv is as felle USI

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 2BEXP

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Question

Read carefully, answer correctly and indicate the subpart your answering

SECTION I: DIRECT METHODS IN SOLVING SYSTEMS OF LINEAR EQUATIONS
1. Find the solution of the system of linear
equation using GAUSS-JORDAN ELIMINATION. If the results are not reducible to
fractions, write the values up to 6 decimal places.
2. Solve the same system using Cramer's Rule.
The Augmented matrix is as follows:
3
2 -8 -1
-5
9
4
3
4
-13 2
1
-7
-2
3
2
10
in equation form
3w + 2x - 8y - z = -5
Ow + 9x + 4y +3z = 4
- 13w + 2x + 6y +z = -7
- 2w + 3x + 2y + 10z = 0
SECTION II : ITERATIVE METHODS IN SOLVING SYSTEMS OF LINEAR EQUATIONS
1. Find the solution of the system of linear
equation using JACOBI ITERATION. STOP at the 5th Iteration. Compute the
ABSOLUTE ERROR for each iteration. Show the working equation and write the
solution for each iteration very clearly. If the results are not reducible to fractions,
write the values up to 6 decimal places.
2. Find the solution of the system of linear
equation using GAUSS-SEIDEL ITERATION. STOP at the 5th Iteration. Compute the
ABSOLUTE ERROR for each iteration. Show the working equation and write the
solution for each iteration very clearly. If the results are not reducible to fractions,
write the values up to 6 decimal places.
The Augmented matrix is as follows:
-13 2
1
-7
4
3
4
3
2 -8 -1
-5
-2
3
2
10 | 0
in equation form
- 13w + 2x +6y +z = -7
Ow + 9x + 4y + 3z = 4
Зw + 2x — 8у -z %3D —5
- 2w + 3x + 2y + 10z = 0

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