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System of Linear Equation No. 1 Given: More equations than variables X - y + 2z = 4 + 3z = 6 2x - 3y + 5z = 4 3x +2y - z = 1

System of Linear Equation No. 1 Given: More equations than variables X - y + 2z = 4 + 3z = 6 2x - 3y + 5z = 4 3x +2y - z = 1

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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System of Linear Equation No. 1 Given: More equations than variables х -у +2z %3D 4 + 3z = 6 2х- Зу + 5z %3D 4 3x +2y - z = 1 System of Linear Equations No. 2 Given: More variables than equations 2х +4y -2z %3D 0 Зх +5y = 1 System of Linear Equations No. 3 Given: Number of Equations and variables are the same 2x + y - z + 2w = -6 Зх +4у + w = 1 X +5y +2z +6w = -3 5x +2y - z - w = 3
Transcribed Image Text:System of Linear Equation No. 1 Given: More equations than variables х -у +2z %3D 4 + 3z = 6 2х- Зу + 5z %3D 4 3x +2y - z = 1 System of Linear Equations No. 2 Given: More variables than equations 2х +4y -2z %3D 0 Зх +5y = 1 System of Linear Equations No. 3 Given: Number of Equations and variables are the same 2x + y - z + 2w = -6 Зх +4у + w = 1 X +5y +2z +6w = -3 5x +2y - z - w = 3
1. Rewrite each given systems of linear equation into its augmented form. 2. Perform the Gauss-Jordan Elimination using elementary row operation. 3. Which of the above given problem has: A. no solution,one solution and many solutions? 4. What is the solution set for the systems that have solutions. 5. What generalization can you make on the relationship between the number of rows and number of variables?
Transcribed Image Text:1. Rewrite each given systems of linear equation into its augmented form. 2. Perform the Gauss-Jordan Elimination using elementary row operation. 3. Which of the above given problem has: A. no solution,one solution and many solutions? 4. What is the solution set for the systems that have solutions. 5. What generalization can you make on the relationship between the number of rows and number of variables?
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