Linear Algebra and Its Applications (5th Edition)

Published by Pearson
ISBN 10: 0-32198-238-X
ISBN 13: 978-0-32198-238-4

Chapter 1 - Linear Equations in Linear Algebra - 1.1 Exercises: 24

Answer

a. True. b. False. c. False. d. True.

Work Step by Step

a. The first box on page 7 states that row equivalent augmented matrices always have the same solution set, and the definition of row equivalence on page 6 states that matrices are row equivalent if they may be transformed into one another by a sequence of elementary row operations. b. At the bottom of page 6, the text states that two matrices are row equivalent if they may be transformed into one another by a sequence of elementary row operations. c. Below the box on page 4, the text states that an inconsistent system has no solutions. d. This is a direct quote from page 3.
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