Find a basis for the eigenspace corresponding to the eigenvalue. A = 3-2 2 -2 6-4,λ=2 3-6 8 A basis for the eigenspace corresponding to λ = 2 is . (Type a vector or list of vectors. Type an integer or simplified fraction for each matrix element. Use a comma to separate answers as needed.)

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.1: Introduction To Eigenvalues And Eigenvectors
Problem 16EQ
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Find a basis for the eigenspace corresponding to the eigenvalue.
3 - 2 2
A = - 2 6
- 6
3
-4,λ=2
8
A basis for the eigenspace corresponding to λ = 2 is.
(Type a vector or list of vectors. Type an integer or simplified fraction for each matrix element. Use a comma to separate answers as needed.)
Transcribed Image Text:Find a basis for the eigenspace corresponding to the eigenvalue. 3 - 2 2 A = - 2 6 - 6 3 -4,λ=2 8 A basis for the eigenspace corresponding to λ = 2 is. (Type a vector or list of vectors. Type an integer or simplified fraction for each matrix element. Use a comma to separate answers as needed.)
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