A diagonalization of the matrix A is given in the form P-'AP = D. List the eigenvalues of A and bases for the corresponding eigenspaces. (Repeated eigenvalues should be entered repeatedly with the same eigenspaces.) 2 -1 7 1 1 1 8 0 -1 -2 10 1 2 9. d = has eigenspace span (smaller 2-value) 12 = has eigenspace span (larger 2-value) II

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.4: Similarity And Diagonalization
Problem 7EQ
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A diagonalization of the matrix A is given in the form P-AP = D. List the eigenvalues of A and bases for the corresponding
eigenspaces. (Repeated eigenvalues should be entered repeatedly with the same eigenspaces.)
7 1
1 1
=
2 -1
8 0
-1
-2 10
1 2
0 9
has eigenspace span
(smaller 2-value)
12 =
has eigenspace span
(larger 2-value)
Transcribed Image Text:A diagonalization of the matrix A is given in the form P-AP = D. List the eigenvalues of A and bases for the corresponding eigenspaces. (Repeated eigenvalues should be entered repeatedly with the same eigenspaces.) 7 1 1 1 = 2 -1 8 0 -1 -2 10 1 2 0 9 has eigenspace span (smaller 2-value) 12 = has eigenspace span (larger 2-value)
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