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 ei -8 6 A = |-15 10 Number of distinct eigenvalues: 1 Dimension of Eigenspace: 1

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.1: Introduction To Eigenvalues And Eigenvectors
Problem 26EQ
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Pls help ASAP. As you can see from the image the dimension eignevalue and distinct eignevalue when its one then pls state that and if there are more than one pls state that and pls give the proper matrix numbers to fill in and clearly state where they are by highlighting them or circling the answers. Pls do it right. 

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.
A =
-15 10
Number of distinct eigenvalues: 2
Dimension of Eigenspace: 2
0:
Dimension of Eigenspace: 2
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. 8. 6. A = -15 10 Number of distinct eigenvalues: 2 Dimension of Eigenspace: 2 0: Dimension of Eigenspace: 2 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
||
-15 10
Number of distinct eigenvalues: 1
Dimension of Eigenspace: 1
0:
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. -8 6 || -15 10 Number of distinct eigenvalues: 1 Dimension of Eigenspace: 1 0: 0.
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