Differential Equations and Linear Algebra (4th Edition)

Published by Pearson
ISBN 10: 0-32196-467-5
ISBN 13: 978-0-32196-467-0

Chapter 3 - Determinants - 3.1 The Definition of the Determinant - True-False Review - Page 206: h

Answer

True

Work Step by Step

The volume of the paralleleppiped is zero if the determinant of the $3 \times 3$ matrix $[v _1,v_2,v_3]$ is zero. As a result, three vectors are in the same plane. This indicates that they are coplanar.
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