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

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.7: The Inverse Of A Matrix
Problem 6E
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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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