Which of the following statements is (are) false? A) A basis is a spanning set that is as large as possible B)in some cases, the linear dependence relations among the columns of a matrix can be affected by certain elementary row operations on the matrix. CRow operations preserve the linear dependence relations among the rows of A Di B is an echelon form of a matrix A. then the pivot columns of B form a basis for ColA Statements A, B.C and D

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter5: Orthogonality
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Which of the following statements is (are) false?
A) A basis is a spanning set that is as large as possible
Bin some cases, the linear dependence relations among the columns of a matrix can be affected by certain elementary row operations on the matrix.
CRow operations preserve the linear dependence relations among the rows of A
DB is an echelon form of a matrix A. then the pivot columns of B form a basis for ColA
Statements A, B.C and D
Transcribed Image Text:Which of the following statements is (are) false? A) A basis is a spanning set that is as large as possible Bin some cases, the linear dependence relations among the columns of a matrix can be affected by certain elementary row operations on the matrix. CRow operations preserve the linear dependence relations among the rows of A DB is an echelon form of a matrix A. then the pivot columns of B form a basis for ColA Statements A, B.C and D
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