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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. -8 6 0 = -15 10 0 30 -21 -3 A= Number of distinct eigenvalues: 1 Dimension of Eigenspace: 1 0:0

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
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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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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