nt) The matrix -5 10 -5 10 0 -5 10 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
nt) The matrix -5 10 -5 10 0 -5 10 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
Chapter4: Eigenvalues And Eigenvectors
Section4.3: Eigenvalues And Eigenvectors Of N X N Matrices
Problem 24EQ
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Question
![ht) The matrix
-5 10
-5 10
0 -5 10
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 2₂ 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%2F6fe0f2e6-a3fe-44ed-a932-d5c5d1248f5a%2Ff51af8ed-6928-43f9-8ca9-66d1ebf37202%2Fmfiwg09n_processed.jpeg&w=3840&q=75)
Transcribed Image Text:ht) The matrix
-5 10
-5 10
0 -5 10
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 2₂ is
0
A = 0
and a basis for its associated eigenspace is
and a basis for its associated eigenspace is
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