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

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.1: Eigenvalues And Eigenvectors
Problem 75E
icon
Related questions
Question
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.
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning