Verify this for A and A = P-¹AP. If y is an eigenvector of P, show that x = Py are eigenvectors of A. Show the details of your work.
Verify this for A and A = P-¹AP. If y is an eigenvector of P, show that x = Py are eigenvectors of A. Show the details of your work.
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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Question
Transcribed Image Text:SIMILAR MATRICES HAVE EQUAL
EIGENVALUES
Verify this for A and A = P-¹AP. If y is an eigenvector
of P, show that x Py are eigenvectors of A. Show the
details of your work.
1-5
Transcribed Image Text:-5
5. A = 3
-5
T
0
4
0
15
-9
15
0
P = | 1
-
0
1
0
0
0
0 1
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