Answer
False
Work Step by Step
The nonzero column vectors of a original matrix $A$ correspond to the nonzero column vectors of a row-echelon for $A$ form a basis for colspace(A).
Differential Equations and Linear Algebra (4th Edition)
by Goode, Stephen W.; Annin, Scott A.
Published by
Pearson
ISBN 10:
0-32196-467-5
ISBN 13:
978-0-32196-467-0
Chapter 4 - Vector Spaces - 4.8 Row Space and Column Space - True-False Review - Page 324: c
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