Differential Equations and Linear Algebra (4th Edition)

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: a

Answer

True.

Work Step by Step

The rowspace is the span of the set of rows in a matrix. Similarly the columnspace. Thus if these two are equal, they must have equal dimensions, thus the statement is true,
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