To determine whether a set of n vectors from R" is independent, we can form a matrix A whose columns are the vectors in the set. If the vectors are linearly independent, what will we see in the reduced row echelon form of A? O None of these O An identity matrix O A row of all zeros O A column of all zeros

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.3: Spanning Sets And Linear Independence
Problem 42EQ
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To determine whether a set of n vectors from R" is independent, we can form a matrix A whose columns are the vectors in the set. If the
vectors are linearly independent, what will we see in the reduced row echelon form of A?
O None of these
O An identity matrix
O A row of all zeros
O A column of all zeros
Transcribed Image Text:To determine whether a set of n vectors from R" is independent, we can form a matrix A whose columns are the vectors in the set. If the vectors are linearly independent, what will we see in the reduced row echelon form of A? O None of these O An identity matrix O A row of all zeros O A column of all zeros
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