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.) 0-1 0 1 6 1 1 0 1 60 0 1 0 1 0 -1 0 -1 1 00 00

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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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 =
^₂ =
^3 =
6
0|10|1
177
7
0 -1
1
1
6 1 1
0 1 0
1 6 0 1
7
0
7 7 7
0
1
0 -1
1
1
-1
-1
0
6
has eigenspace span
has eigenspace span
has eigenspace span
=
700
0 1 0
000
→
(smallest λ-value)
(H)
(largest λ-value)
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 = ^₂ = ^3 = 6 0|10|1 177 7 0 -1 1 1 6 1 1 0 1 0 1 6 0 1 7 0 7 7 7 0 1 0 -1 1 1 -1 -1 0 6 has eigenspace span has eigenspace span has eigenspace span = 700 0 1 0 000 → (smallest λ-value) (H) (largest λ-value)
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