A diagonalization of the matrix A is given in the form P-1AP = D. List the eigenvalues of A and bases for the corresponding eigenspaces. (Repeated eigenvalues should be entered repeatedly with the same eigenspaces.) 21 = 1 1 1 10 10 10 2 2 2 5 1 0 4 0 0 001 1-1 1 = 2 2 2 2 1 4 0-1 0 0 0 00-1 × has eigenspace span (smallest 2-value) 22 = 0 has eigenspace 側 span 23 Enter an exact number. has eigenspace span × (largest λ-value)
A diagonalization of the matrix A is given in the form P-1AP = D. List the eigenvalues of A and bases for the corresponding eigenspaces. (Repeated eigenvalues should be entered repeatedly with the same eigenspaces.) 21 = 1 1 1 10 10 10 2 2 2 5 1 0 4 0 0 001 1-1 1 = 2 2 2 2 1 4 0-1 0 0 0 00-1 × has eigenspace span (smallest 2-value) 22 = 0 has eigenspace 側 span 23 Enter an exact number. has eigenspace span × (largest λ-value)
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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![A diagonalization of the matrix A is given in the form P-1AP = D. List the eigenvalues of A and bases for the corresponding eigenspaces. (Repeated eigenvalues should be entered repeatedly with the same eigenspaces.)
21
=
1
1
1
10
10
10
2 2 2
5
1
0
4 0
0
001
1-1 1
=
2
2
2 2 1
4
0-1
0 0 0
00-1
×
has eigenspace span
(smallest 2-value)
22 = 0
has eigenspace
側
span
23
Enter an exact number.
has eigenspace span
×
(largest λ-value)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6c994400-dbcd-46e9-901d-7906a41ec43f%2F3f9cee2c-893b-46b3-a955-df6ef918def9%2F89xyml_processed.png&w=3840&q=75)
Transcribed Image Text:A diagonalization of the matrix A is given in the form P-1AP = D. List the eigenvalues of A and bases for the corresponding eigenspaces. (Repeated eigenvalues should be entered repeatedly with the same eigenspaces.)
21
=
1
1
1
10
10
10
2 2 2
5
1
0
4 0
0
001
1-1 1
=
2
2
2 2 1
4
0-1
0 0 0
00-1
×
has eigenspace span
(smallest 2-value)
22 = 0
has eigenspace
側
span
23
Enter an exact number.
has eigenspace span
×
(largest λ-value)
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