Linear Algebra and Its Applications (5th Edition)

Published by Pearson
ISBN 10: 032198238X
ISBN 13: 978-0-32198-238-4

Chapter 1 - Linear Equations in Linear Algebra - 1.5 Exercises - Page 48: 23

Answer

a) True b) False c) False d) False e) False

Work Step by Step

a. True. $Ax=0$ is always consistent since the trivial solution is always a solution to a system. b. False. The equation Ax = 0 gives an implicit description of its solution set. entitled Parametric Vector Form. c. False. The equation Ax = 0 always has the trivial solution. word nontrivial instead of trivial. d. False. The line goes through p parallel to v. e. False. The solution set could be empty
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