e) If the eigenvalues of a 3 x 3 matrix A is 5, –4 and 20, then the eigenvalues of A" are 0.2, –0.25 and 0.05. O True O False f) Suppose i > 0 and u are a pair of eigenvalue and eigenvector of a 2 x 2 matrix A and v = Au. Then v and u must be in the same direction. O True O False
e) If the eigenvalues of a 3 x 3 matrix A is 5, –4 and 20, then the eigenvalues of A" are 0.2, –0.25 and 0.05. O True O False f) Suppose i > 0 and u are a pair of eigenvalue and eigenvector of a 2 x 2 matrix A and v = Au. Then v and u must be in the same direction. O True O False
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
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Matrix algebra
![e)
If the eigenvalues of a 3 x 3 matrix A is 5, –4 and 20, then the eigenvalues of A"
are 0.2, –0.25 and 0.05.
O True
O False
f)
Suppose i > 0 and u are a pair of eigenvalue and eigenvector of a 2 x 2 matrix A
and v = Au. Then v and u must be in the same direction.
O True
O False](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F84c08101-3c7b-452c-bc08-9a13060a33e4%2Fc01f236f-f37a-4c31-acba-e6c961e7eb99%2Fmjczw1f_processed.png&w=3840&q=75)
Transcribed Image Text:e)
If the eigenvalues of a 3 x 3 matrix A is 5, –4 and 20, then the eigenvalues of A"
are 0.2, –0.25 and 0.05.
O True
O False
f)
Suppose i > 0 and u are a pair of eigenvalue and eigenvector of a 2 x 2 matrix A
and v = Au. Then v and u must be in the same direction.
O True
O False
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