(1 point) The matrix 4 0 4 0 0 -4 0 has two real eigenvalues, one of multiplicity 1 and one of multiplicity 2. Find the eigenvalues and a basis for each eigenspace. The eigenvalue ₁ is The eigenvalue λ₂ is 0 A = 0 and a basis for its associated eigenspace is and a basis for its associated eigenspace is
(1 point) The matrix 4 0 4 0 0 -4 0 has two real eigenvalues, one of multiplicity 1 and one of multiplicity 2. Find the eigenvalues and a basis for each eigenspace. The eigenvalue ₁ is The eigenvalue λ₂ is 0 A = 0 and a basis for its associated eigenspace is and a basis for its associated eigenspace is
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.4: The Singular Value Decomposition
Problem 26EQ
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![(1 point) The matrix
4 0
4 0
0 -4 0
has two real eigenvalues, one of multiplicity 1 and one of multiplicity 2. Find the eigenvalues and a basis for each eigenspace.
The eigenvalue ₁ is
The eigenvalue ₂ is
0
A = 0
and a basis for its associated eigenspace is
and a basis for its associated eigenspace is](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8aae3098-fa2b-4975-97d8-48c990aeed96%2Ff393bd5a-a32f-4f33-8ae5-d50d83fe0c94%2Fxqdrym_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(1 point) The matrix
4 0
4 0
0 -4 0
has two real eigenvalues, one of multiplicity 1 and one of multiplicity 2. Find the eigenvalues and a basis for each eigenspace.
The eigenvalue ₁ is
The eigenvalue ₂ is
0
A = 0
and a basis for its associated eigenspace is
and a basis for its associated eigenspace is
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