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
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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
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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