Find the eigenvalues of A, and find a basis for each eigenspace [2 -8] A = 8 2 {}:2-8. 2 + 8i, 2 + 8i, ;2 - 8i, + 2i 2 + 8i, 8. ; 2 - 8i, 8

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
Problem 19CM: In Exercises 19-22, find the eigenvalues and the corresponding eigenvectors of the matrix. [7223]
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Find the eigenvalues of A, and find a basis for each eigenspace.
[2 -8]
A =
2
1 + 2i
1- 2i
2 + 8i,
;2- 8i,
8
2 + 8i,
:2- 8i.
1- 2i
; 2 - 8i,
8
2 + 8i,
2 + 8i,
;2 - 8i,
Transcribed Image Text:Find the eigenvalues of A, and find a basis for each eigenspace. [2 -8] A = 2 1 + 2i 1- 2i 2 + 8i, ;2- 8i, 8 2 + 8i, :2- 8i. 1- 2i ; 2 - 8i, 8 2 + 8i, 2 + 8i, ;2 - 8i,
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