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: 24

Answer

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

Work Step by Step

a. False. The trivial solution is always a solution to a homogeneous system of linear equations. b. False. A nontrivial solution of Ax = 0 is any nonzero x that satisfies the equation. See the the sentence before Example 2. c. True. See the paragraph following Example 3. d. True. If the zero vector is a solution, then b = Ax = A0 = 0. e. True. See Theorem 6.
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