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operations are carried out sequentially on its rows until reaching the matrix (A | B ) such that A is a row- reduced echelon matrix and, specifically, (3) 20 A' 0. With certainty it can be ensured that: a) A solution of the system AX = B is the matrix (3 0 -1100T b) The only solution of the system AX = B is the matrix (1-1-11 10)| c) A solution of the system AX = B is the matrix (1 0-11 10)T d) The AX = B system has no solutions (it is inconsistent)

operations are carried out sequentially on its rows until reaching the matrix (A | B ) such that A is a row- reduced echelon matrix and, specifically, (3) 20 A' 0. With certainty it can be ensured that: a) A solution of the system AX = B is the matrix (3 0 -1100T b) The only solution of the system AX = B is the matrix (1-1-11 10)| c) A solution of the system AX = B is the matrix (1 0-11 10)T d) The AX = B system has no solutions (it is inconsistent)

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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We have that AX = B is a matrix representation of a system of linear equations. On the augmented matrix (A | B), 4 elementary operations are carried out sequentially on its rows until reaching the matrix (A B') such that A is a row- reduced echelon matrix and, specifically, 0. With certainty it can be ensured that: A solution of the system AX = B is the matrix (3 0-11 0 0 b) The only solution of the system AX = B is the matrix (1-1-11 1 0)T c) A solution of the system AX = B is the matrix (10-11 10) d) The AX B system has no solutions (it is inconsistent) a)
Transcribed Image Text:We have that AX = B is a matrix representation of a system of linear equations. On the augmented matrix (A | B), 4 elementary operations are carried out sequentially on its rows until reaching the matrix (A B') such that A is a row- reduced echelon matrix and, specifically, 0. With certainty it can be ensured that: A solution of the system AX = B is the matrix (3 0-11 0 0 b) The only solution of the system AX = B is the matrix (1-1-11 1 0)T c) A solution of the system AX = B is the matrix (10-11 10) d) The AX B system has no solutions (it is inconsistent) a)
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