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2. Using an augmented matrix and elementary row operations, show that the system of linear equations x-2y +3z 1 x+py+2z 2 -2x + p'y-4z 3p-4 -2 3 1 where p is a constant, can be reduced to 0 p+2 -1 1 P 2p a) Find the solution of the above system of linear equation where p=1. b) State the condition of p for which the system of linear equations has an infinite number of solutions and has no solution.

2. Using an augmented matrix and elementary row operations, show that the system of linear equations x-2y +3z 1 x+py+2z 2 -2x + p'y-4z 3p-4 -2 3 1 where p is a constant, can be reduced to 0 p+2 -1 1 P 2p a) Find the solution of the above system of linear equation where p=1. b) State the condition of p for which the system of linear equations has an infinite number of solutions and has no solution.

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter6: Matrices And Determinants
Section: Chapter Questions
Problem 4CC
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2. Using an augmented matrix and elementary row operations, show that the system of linear equations x-2y +3z 1 X+py+2z 2 -2x + p'y-4z 3p-4 -2 3 1 where p is a constant, can be reduced to 0 p+2 -1 1 p 2p a) Find the solution of the above system of linear equation where p=1. b) State the condition of p for which the system of linear equations has an infinite number of solutions and has no solution.
Transcribed Image Text:2. Using an augmented matrix and elementary row operations, show that the system of linear equations x-2y +3z 1 X+py+2z 2 -2x + p'y-4z 3p-4 -2 3 1 where p is a constant, can be reduced to 0 p+2 -1 1 p 2p a) Find the solution of the above system of linear equation where p=1. b) State the condition of p for which the system of linear equations has an infinite number of solutions and has no solution.
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