The matrix A 0 4 0 0 -4 -8 has two real eigenvalues, one of multiplicity 1 and one of multiplicity 2. Find the eigenvalues and a basis of each eigenspace. 4 8 A₁ = has multiplicity 1, with a basis of A₂ = has multiplicity 2, with a basis of

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.CR: Review Exercises
Problem 15CR: For what values of a does the matrix A=[01a1] have the characteristics below? a A has eigenvalue of...
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-4 -8 has two real eigenvalues, one of multiplicity 1 and one of multiplicity 2. Find the eigenvalues and a basis of each eigenspace.
4
8
has multiplicity 1, with a basis of
has multiplicity 2, with a basis of
The matrix A
A₁ =
A₂ =
0
4
Transcribed Image Text:0 0 -4 -8 has two real eigenvalues, one of multiplicity 1 and one of multiplicity 2. Find the eigenvalues and a basis of each eigenspace. 4 8 has multiplicity 1, with a basis of has multiplicity 2, with a basis of The matrix A A₁ = A₂ = 0 4
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