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: 23

Answer

$$W=0.$$

Work Step by Step

The Wronskian of $\left\{1, x, x^{2}, x^{3}\right\}$ is given by $$W=\left|\begin{array}{cccc}{1} & {1} & {x^{2}} & {x^{3}} \\ {0} & {0} & {2} & {3 x^{2}} \\ {0} & {0} & {2} & {6 x} \\ {0} & {0} & {0} & {6}\end{array}\right|=0.$$
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