Find the eigenvalues A₁ < A₂ < A3 and associated unit eigenvectors ₁, 2, 3 of the symmetric matrix [2 2 2] A = 2 0 4 2 4 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Chapter 8.1 Question 5

u1 is not [0,-1,1], u2 is not [-2,1,1], u3 is not [1,1,1] give me the correct values.

Find the eigenvalues A₁ < λ₂ < A3 and associated unit eigenvectors ₁, 2, 3 of the symmetric matrix
[2 2 2
A
20 4
2 4 0
The eigenvalue A₁ = -4
has associated unit eigenvector ₁
=
0
−1
1
The eigenvalue A₂ = 0
has associated unit eigenvector 2 =
-2
1
1
The eigenvalue X3 = 6
has associated unit eigenvector 3 =
1
1
1
=
Transcribed Image Text:Find the eigenvalues A₁ < λ₂ < A3 and associated unit eigenvectors ₁, 2, 3 of the symmetric matrix [2 2 2 A 20 4 2 4 0 The eigenvalue A₁ = -4 has associated unit eigenvector ₁ = 0 −1 1 The eigenvalue A₂ = 0 has associated unit eigenvector 2 = -2 1 1 The eigenvalue X3 = 6 has associated unit eigenvector 3 = 1 1 1 =
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