Consider the following system of equations. Зх + 3у + 3z %3D —3 -2х + у — 2z % 5 —3х + у — 3z %3D7 - (a) Write the augmented matrix of the system (no justification required). (b) Use Gaussian elimination to find the reduced row echelon form of that matrix. (c) What are the solutions to the system? If there are infinitely many, write them in parametric form.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
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Chapter6: Matrices And Determinants
Section: Chapter Questions
Problem 10CC
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Consider the following system of equations.
3x + 3y + 3z = -3
||
-2x + y – 2z = 5
-3x + y – 3z = 7
(a) Write the augmented matrix of the system (no justification required).
(b) Use Gaussian elimination to find the reduced row echelon form of that
matrix.
(c) What are the solutions to the system? If there are infinitely many, write them
in parametric form.
Transcribed Image Text:Consider the following system of equations. 3x + 3y + 3z = -3 || -2x + y – 2z = 5 -3x + y – 3z = 7 (a) Write the augmented matrix of the system (no justification required). (b) Use Gaussian elimination to find the reduced row echelon form of that matrix. (c) What are the solutions to the system? If there are infinitely many, write them in parametric form.
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