Given that λ = 1 is a twice-repeated eigenvalue of the matrix 2 1 -1 A = -1 0 1 -1 -1 2 how many linearly independent eigenvectors correspond to this value of λ? Determine a corresponding set of linearly independent eigenvectors.

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 80E
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1.4.5
Given that λ = 1 is a twice-repeated eigenvalue
of the matrix
2
1
A = -1
0 1
-1 2
how many linearly independent eigenvectors
correspond to this value of λ? Determine a
corresponding set of linearly independent
eigenvectors.
Transcribed Image Text:1.4.5 Given that λ = 1 is a twice-repeated eigenvalue of the matrix 2 1 A = -1 0 1 -1 2 how many linearly independent eigenvectors correspond to this value of λ? Determine a corresponding set of linearly independent eigenvectors.
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