The matrix -1 0 0 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 ₁ is 1 A = 0 0 The eigenvalue 22 is and a basis for its associated eigenspace is and a basis for its associated eigenspace is
The matrix -1 0 0 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 ₁ is 1 A = 0 0 The eigenvalue 22 is 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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Question
![The matrix
-1 0
000
-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 ₁ is
The eigenvalue ₂ is
A =
1
0
and a basis for its associated eigenspace is
and a basis for its associated eigenspace is
300 000](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3688a312-1b6e-40d4-973f-537807921925%2F56857f8c-1e8c-45f9-9f51-1af4fa0a0e78%2F770qd6l_processed.png&w=3840&q=75)
Transcribed Image Text:The matrix
-1 0
000
-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 ₁ is
The eigenvalue ₂ is
A =
1
0
and a basis for its associated eigenspace is
and a basis for its associated eigenspace is
300 000
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