22. If v is an eigenvector of A with corresponding eigen- value A and c is a scalar, show that v is an eigenvector of A - cl with corresponding eigenvalue λ - c.
22. If v is an eigenvector of A with corresponding eigen- value A and c is a scalar, show that v is an eigenvector of A - cl with corresponding eigenvalue λ - c.
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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![22. If v is an eigenvector of A with corresponding eigen-
value A and c is a scalar, show that v is an eigenvector
of A - cl with corresponding eigenvalue λ - c.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdb82eee3-c597-43b7-b98f-cffc18fbca72%2F0ada928a-cd3b-44fa-a3a0-025a86d39ad8%2F5qx15e_processed.png&w=3840&q=75)
Transcribed Image Text:22. If v is an eigenvector of A with corresponding eigen-
value A and c is a scalar, show that v is an eigenvector
of A - cl with corresponding eigenvalue λ - c.
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