Linear Algebra and Its Applications (5th Edition)

Published by Pearson
ISBN 10: 032198238X
ISBN 13: 978-0-32198-238-4

Chapter 5 - Eigenvalues and Eigenvectors - 5.2 Exercises - Page 282: 15

Answer

$\lambda = 1, 3, 3, 4$

Work Step by Step

(1) Note the given matrix is upper triangular because there are only zero entries below the main diagonal. (2) Recall Theorem 5.1, which states the eigenvalues of a diagonal matrix are the entries along the main diagonal. (3) The values on the main diagonal, and thus, the eigenvalues are 1,3,3,4. Note the eigenvalue of 3 has a multiplicity of two.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.