4. Let [4 0 11 3 2 1 0 4] A = 2 a) Find the eigenvalues of A. b) For each eigenvalue λ, find the rank of the matrix A – λI. c) Is A diagonalizable? Justify your conclusion. (Hint: Use the answer in part (b) above)
4. Let [4 0 11 3 2 1 0 4] A = 2 a) Find the eigenvalues of A. b) For each eigenvalue λ, find the rank of the matrix A – λI. c) Is A diagonalizable? Justify your conclusion. (Hint: Use the answer in part (b) above)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![4. Let
421
A = 2
030
1]
2
4
a) Find the eigenvalues of A.
b) For each eigenvalue λ, find the rank of the matrix A – λI.
c) Is A diagonalizable? Justify your conclusion. (Hint: Use the answer in part (b) above)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe0e10355-5716-44c5-8858-66d52fccb53f%2Faffdcb63-84a5-40c6-856a-da8ad404a3bf%2Fntovj76_processed.jpeg&w=3840&q=75)
Transcribed Image Text:4. Let
421
A = 2
030
1]
2
4
a) Find the eigenvalues of A.
b) For each eigenvalue λ, find the rank of the matrix A – λI.
c) Is A diagonalizable? Justify your conclusion. (Hint: Use the answer in part (b) above)
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