Find all distinct (real or complex) eigenvalues of A. Then find a basis for the eigenspace of A corresponding to each eigenvalue. For each eigenvalue, specify the dimension of the eigenspace corresponding to that eigenvalue, then enter the eigenvalue followed by the basis of the eigenspace corresponding to that eigenvalue. -8 6 0 = -15 10 0 30 -21 -3 A= Number of distinct eigenvalues: 1 Dimension of Eigenspace: 1 0:0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Find all distinct (real or complex) eigenvalues of A. Then find a basis for the
eigenspace of A corresponding to each eigenvalue.
For each eigenvalue, specify the dimension of the eigenspace corresponding
to that eigenvalue, then enter the eigenvalue followed by the basis of the
eigenspace corresponding to that eigenvalue.
A =
=
-8
6
0
-15 10 0
30 -21 -3
Number of distinct eigenvalues: 1
Dimension of Eigenspace: 1
0:
B
0
Transcribed Image Text:Find all distinct (real or complex) eigenvalues of A. Then find a basis for the eigenspace of A corresponding to each eigenvalue. For each eigenvalue, specify the dimension of the eigenspace corresponding to that eigenvalue, then enter the eigenvalue followed by the basis of the eigenspace corresponding to that eigenvalue. A = = -8 6 0 -15 10 0 30 -21 -3 Number of distinct eigenvalues: 1 Dimension of Eigenspace: 1 0: B 0
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