Find all distinct (real or complex) eigenvalues of A. Then find the basic eigenvectors of A corresponding to each eigenvalue. For each eigenvalue, specify the number of basic eigenvectors corresponding to that eigenvalue, then enter the eigenvalue followed by the basic eigenvectors corresponding to that eigenvalue. A = -3 -14 6 1 15 -8 2 26 -14 Number of distinct eigenvalues: 1 Number of Vectors: 1 0 0:0 0

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.3: Eigenvalues And Eigenvectors Of N X N Matrices
Problem 24EQ
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Find all distinct (real or complex) eigenvalues of A. Then find the basic
eigenvectors of A corresponding to each eigenvalue.
For each eigenvalue, specify the number of basic eigenvectors corresponding
to that eigenvalue, then enter the eigenvalue followed by the basic
eigenvectors corresponding to that eigenvalue.
A
=
-3 -14 6
1 15 -8
2 26 -14
Number of distinct eigenvalues: 1
Number of Vectors: 1
0
0:0
0
Transcribed Image Text:Find all distinct (real or complex) eigenvalues of A. Then find the basic eigenvectors of A corresponding to each eigenvalue. For each eigenvalue, specify the number of basic eigenvectors corresponding to that eigenvalue, then enter the eigenvalue followed by the basic eigenvectors corresponding to that eigenvalue. A = -3 -14 6 1 15 -8 2 26 -14 Number of distinct eigenvalues: 1 Number of Vectors: 1 0 0:0 0
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