Elementary Linear Algebra 7th Edition

by Larson, Ron

Published by Cengage Learning

ISBN 10: 1-13311-087-8

ISBN 13: 978-1-13311-087-3

Chapter 7 - Eigenvalues and Eigenvectors - 7.1 Eigenvalues and Eigenvectors - 7.1 Exercises - Page 352: 71

Answer

See below.

Work Step by Step

$T(e^x)=(e^x)'=e^x=1\cdot e^x$, thus we can indeed see that $1$ is an eigenvalue with the corresponding eigenvector of $e^x$.

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