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 follow by the basis of the eigenspace corresponding to that eigenvalue. A = 9 -1 4 21 1 6 -18 2-8 Number of distinct eigenvalues: 1 Dimension of Eigenspace: 1 0.

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 38EQ
Question
#8 Please show all work
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 =
9 -1 4
21 1 6
-18 2-8
Number of distinct eigenvalues: 1
Dimension of Eigenspace: 1
0:
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. A = 9 -1 4 21 1 6 -18 2-8 Number of distinct eigenvalues: 1 Dimension of Eigenspace: 1 0: 0 0
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