Which one of the following is true? a) In a reduced echelon form, using different row operations, a matrix can be reduced to more than one matrix. b) Only the augmented matrices are applicable for the row reduction algorithm. c) A solution set contains infinitely many solutions if is has free variables. d) The variable that corresponds to the pivot column in the coefficient matrix is a basis variable

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.2: Direct Methods For Solving Linear Systems
Problem 2CEXP
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Which one of the following is true?
a) In a reduced echelon form, using different row operations, a matrix can be
reduced to more than one matrix.
b) Only the augmented matrices are applicable for the row reduction algorithm.
c) A solution set contains infinitely many solutions if is has free variables.
d) The variable that corresponds to the pivot column in the coefficient matrix is a
basis variable.
Transcribed Image Text:Which one of the following is true? a) In a reduced echelon form, using different row operations, a matrix can be reduced to more than one matrix. b) Only the augmented matrices are applicable for the row reduction algorithm. c) A solution set contains infinitely many solutions if is has free variables. d) The variable that corresponds to the pivot column in the coefficient matrix is a basis variable.
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