Linear Algebra and Its Applications (5th Edition)

by Lay, David C.; Lay, Steven R.; McDonald, Judi J.

Published by Pearson

ISBN 10: 032198238X

ISBN 13: 978-0-32198-238-4

Chapter 5 - Eigenvalues and Eigenvectors - 5.1 Exercises - Page 274: 18

Answer

$\lambda = -3, 0, 4$

Work Step by Step

Notice the given matrix is lower triangular because all the entries above the main diagonal are 0. By Theorem 1, the entries on the main diagonal of a triangular matrix are the eigenvalues. So, the eigenvalues are 4,0,-3.

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