Find the eigenvalues and bases for the eigenspaces of A³ for -2 -4 -4 A 2 4 2 -2 -2

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter10: Matrices
Section10.CR: Chapter 10 Review
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Find the eigenvalues and bases for the eigenspaces of A³ for
-2 -4 -4
A :
4
-2 -2
Ο λ-2
2
O A1 = 8, 12 = - 2
1 1[ 0
O 4 = 2
1
O 4 = 8
2
O A4 = 8, 12 = - 8
2
2.
Transcribed Image Text:Find the eigenvalues and bases for the eigenspaces of A³ for -2 -4 -4 A : 4 -2 -2 Ο λ-2 2 O A1 = 8, 12 = - 2 1 1[ 0 O 4 = 2 1 O 4 = 8 2 O A4 = 8, 12 = - 8 2 2.
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