The matrix The eigenvalue ₁ is A = The eigenvalue λ2 is 0 has two real eigenvalues, one of multiplicity 1 and one of multiplicity 2. Find the eigenvalues and a basis for each eigenspace. 2 and a basis for its associated eigenspace is and a basis for its associated eigenspace is
The matrix The eigenvalue ₁ is A = The eigenvalue λ2 is 0 has two real eigenvalues, one of multiplicity 1 and one of multiplicity 2. Find the eigenvalues and a basis for each eigenspace. 2 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 41EQ
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Question
![The matrix
The eigenvalue 1 is
0
A = 1
1
0
1 -1
has two real eigenvalues, one of multiplicity 1 and one of multiplicity 2. Find the eigenvalues and a basis for each eigenspace.
The eigenvalue λ2 is
-1
1
2
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%2F35bc7cfb-e38c-45d6-8cb2-8c987ddfb016%2Fd467ea47-6a9c-4037-992d-92f108a21732%2Fpyo2v2_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The matrix
The eigenvalue 1 is
0
A = 1
1
0
1 -1
has two real eigenvalues, one of multiplicity 1 and one of multiplicity 2. Find the eigenvalues and a basis for each eigenspace.
The eigenvalue λ2 is
-1
1
2
and a basis for its associated eigenspace is
{
and a basis for its associated eigenspace is
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