4. Given matrix 3 (-²1) 0 5 4 -2 -14 B = -12 (a) Find the eigenvalue(s) of B. (b) Find the eigenvalue(s) of B². (c) What conclusion can you make by comparing answers from part (a) and (b)?
4. Given matrix 3 (-²1) 0 5 4 -2 -14 B = -12 (a) Find the eigenvalue(s) of B. (b) Find the eigenvalue(s) of B². (c) What conclusion can you make by comparing answers from part (a) and (b)?
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
Problem 20CM
Related questions
Question
![4. Given matrix
3 -1 -1
B = -12 0 5
-2 -1/
(a) Find the eigenvalue(s) of B.
(b) Find the eigenvalue(s) of B².
(c) What conclusion can you make by comparing answers from part (a) and (b)?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3ad01f60-4219-492f-ba73-b52c85c2a06b%2F0895fee0-8318-4c5c-98a6-00400014abc0%2Fdpyde9l_processed.png&w=3840&q=75)
Transcribed Image Text:4. Given matrix
3 -1 -1
B = -12 0 5
-2 -1/
(a) Find the eigenvalue(s) of B.
(b) Find the eigenvalue(s) of B².
(c) What conclusion can you make by comparing answers from part (a) and (b)?
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