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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

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

Advanced Engineering Mathematics
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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The Augmented matrix is as follows: 3 2 -8 -1 9. 4 3 4 1 -7 10 | 0 -13 2 6. -2 3 2 in equation form Зw + 2х — 8у —z %3D —5 Ow + 9x +4y + 3z = 4 - 13w + 2x + 6y +z = -7 - 2w + 3x + 2y + 10z = 0 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: -13 2 1 -7 9. 4 3 4 3 2 -8 -1 -5 -2 3 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 SECTION II : ITERATIVE METHODSS 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.
Transcribed Image Text:The Augmented matrix is as follows: 3 2 -8 -1 9. 4 3 4 1 -7 10 | 0 -13 2 6. -2 3 2 in equation form Зw + 2х — 8у —z %3D —5 Ow + 9x +4y + 3z = 4 - 13w + 2x + 6y +z = -7 - 2w + 3x + 2y + 10z = 0 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: -13 2 1 -7 9. 4 3 4 3 2 -8 -1 -5 -2 3 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 SECTION II : ITERATIVE METHODSS 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.
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