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

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter5: Systems Of Equations And Inequalities
Section5.2: Systems Of Linear Equations In Several Variables
Problem 5E
icon
Related questions
Question
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?
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage