Elementary Linear Algebra 7th Edition

Published by Cengage Learning
ISBN 10: 1-13311-087-8
ISBN 13: 978-1-13311-087-3

Chapter 4 - Vector Spaces - 4.8 Applications of Vector Spaces - 4.8 Exercises - Page 219: 13

Answer

$$W=-x \sin x -\cos x$$

Work Step by Step

The Wronskian of $\{x, \cos x\}$ is given by $$W=\left|\begin{array}{cc}{x} & {\cos x} \\ {1} & {-\sin x}\end{array}\right|=-x \sin x -\cos x$$
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