The matrix A = The larger eigenvalue 2₂ is -1 7 4 1 3 -1 5 -3 -1 2 -3 1 1 6 -4 has two distinct real eigenvalues λ₁ <^₂. Find the eigenvalues and a basis for each eigenspace. The smaller eigenvalue ₁ is. and a basis for its associated eigenspace is (-) and a basis for its associated eigenspace is (EE))
The matrix A = The larger eigenvalue 2₂ is -1 7 4 1 3 -1 5 -3 -1 2 -3 1 1 6 -4 has two distinct real eigenvalues λ₁ <^₂. Find the eigenvalues and a basis for each eigenspace. The smaller eigenvalue ₁ is. and a basis for its associated eigenspace is (-) and a basis for its associated eigenspace is (EE))
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
1
5
2 -3
1 6
has two distinct real eigenvalues 2₁ <^₂. Find the eigenvalues and a basis for each eigenspace.
The smaller eigenvalue ₁ is
and a basis for its associated eigenspace is
The larger eigenvalue 2₂ is
A =
4
1
-1
-1
1
3
-3
and a basis for its associated eigenspace is](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3688a312-1b6e-40d4-973f-537807921925%2F0b05a5d7-097b-4b26-8ebc-dcb554f12f92%2Fkpddhqq_processed.png&w=3840&q=75)
Transcribed Image Text:The matrix
1
5
2 -3
1 6
has two distinct real eigenvalues 2₁ <^₂. Find the eigenvalues and a basis for each eigenspace.
The smaller eigenvalue ₁ is
and a basis for its associated eigenspace is
The larger eigenvalue 2₂ is
A =
4
1
-1
-1
1
3
-3
and a basis for its associated eigenspace is
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