Suppose A> 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. True False If the eigenvalues of a 3 x 3 matrix A is 1, –8 and 50, then the eigenvalues of A are 1, –0.125 and 0.02. O True O False If the eigenvalues of a 3 x 3 matrix A is 1, –8 and 50, then the eigenvalues of A- are 1, –0.125 and 0.02. O True False
Suppose A> 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. True False If the eigenvalues of a 3 x 3 matrix A is 1, –8 and 50, then the eigenvalues of A are 1, –0.125 and 0.02. O True O False If the eigenvalues of a 3 x 3 matrix A is 1, –8 and 50, then the eigenvalues of A- are 1, –0.125 and 0.02. O True False
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
True or false
![Suppose A > 0 and u are a pair of eigenvalue and eigenvector of a 2 x 2
Au. Then v and u must be in the same direction.
matrix A and v
True
False
If the eigenvalues of a 3 x 3 matrix A is 1, –8 and 50, then the eigenvalues
of A" are 1, –0.125 and 0.02.
True
False
If the eigenvalues of a 3 x 3 matrix A is 1, -8 and 50, then the eigenvalues
of A- are 1, –0.125 and 0.02.
-1
True
False](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc44dcff9-ecdc-469b-b98d-68eaf81047bd%2Fd5254e39-5843-4340-b249-a8a3574a43ef%2Fv1f46xp_processed.png&w=3840&q=75)
Transcribed Image Text:Suppose A > 0 and u are a pair of eigenvalue and eigenvector of a 2 x 2
Au. Then v and u must be in the same direction.
matrix A and v
True
False
If the eigenvalues of a 3 x 3 matrix A is 1, –8 and 50, then the eigenvalues
of A" are 1, –0.125 and 0.02.
True
False
If the eigenvalues of a 3 x 3 matrix A is 1, -8 and 50, then the eigenvalues
of A- are 1, –0.125 and 0.02.
-1
True
False
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