Find the eigenvalues A1 < A2 < d3 and associated unit eigenvectors ủ1, ū2, ū3 of the symmetric matrix 2 -1 A = -1 -1 The eigenvalue A1 = A has associated unit eigenvector u1 1 The eigenvalue d2 = has associated unit eigenvector iz : 1 The eigenvalue dz = has associated unit eigenvector üz = Note: The eigenvectors above form an orthonormal eigenbasis for A.
Find the eigenvalues A1 < A2 < d3 and associated unit eigenvectors ủ1, ū2, ū3 of the symmetric matrix 2 -1 A = -1 -1 The eigenvalue A1 = A has associated unit eigenvector u1 1 The eigenvalue d2 = has associated unit eigenvector iz : 1 The eigenvalue dz = has associated unit eigenvector üz = Note: The eigenvectors above form an orthonormal eigenbasis for A.
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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![Find the eigenvalues A1 < A2 < d3 and associated unit eigenvectors ū1, ū2, ūz of the symmetric matrix
-1
A
-1
-1
-1
-4
-1
2
The eigenvalue X1 =
. has associated unit eigenvector ủ1 =
The eigenvalue A2
has associated unit eigenvector ú2
1
The eigenvalue A3
has associated unit eigenvector úz
Note: The eigenvectors above form an orthonormal eigenbasis for A.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa002a5cd-b084-432c-bbf2-5187ab19a55e%2F3375b8ef-e1e4-4b04-81fd-94cea14a66b9%2Fg18r2on_processed.png&w=3840&q=75)
Transcribed Image Text:Find the eigenvalues A1 < A2 < d3 and associated unit eigenvectors ū1, ū2, ūz of the symmetric matrix
-1
A
-1
-1
-1
-4
-1
2
The eigenvalue X1 =
. has associated unit eigenvector ủ1 =
The eigenvalue A2
has associated unit eigenvector ú2
1
The eigenvalue A3
has associated unit eigenvector úz
Note: The eigenvectors above form an orthonormal eigenbasis for A.
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