The matrix 4 0 8 0 0 -2 2 A = -2 0 -6 4 -2 0 -8 6 has two distinct real eigenvalues A₁ < λ2. Find the eigenvalues and a basis for each eigenspace. The smaller eigenvalue A₁ is eigenspace is and a basis for its associated The larger eigenvalue A2 is eigenspace is and a basis for its associated { 9. }.
The matrix 4 0 8 0 0 -2 2 A = -2 0 -6 4 -2 0 -8 6 has two distinct real eigenvalues A₁ < λ2. Find the eigenvalues and a basis for each eigenspace. The smaller eigenvalue A₁ is eigenspace is and a basis for its associated The larger eigenvalue A2 is eigenspace is and a basis for its associated { 9. }.
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
Related questions
Question
![The matrix
4
0
8
0
0
-2
2
A =
-2
0
-6
4
-2 0 -8
6
has two distinct real eigenvalues A₁ < λ2. Find the eigenvalues and a basis for each
eigenspace.
The smaller eigenvalue A₁ is
eigenspace is
and a basis for its associated
The larger eigenvalue A2 is
eigenspace is
and a basis for its associated
{
9.
}.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fef19df16-a9cf-4d28-80b1-5d3bd6b485e3%2F2369ddb4-dace-42e0-8c62-a99101de4a61%2F7o8cvja_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The matrix
4
0
8
0
0
-2
2
A =
-2
0
-6
4
-2 0 -8
6
has two distinct real eigenvalues A₁ < λ2. Find the eigenvalues and a basis for each
eigenspace.
The smaller eigenvalue A₁ is
eigenspace is
and a basis for its associated
The larger eigenvalue A2 is
eigenspace is
and a basis for its associated
{
9.
}.
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