Find the eigenvalues A1 < A2 < A3 and associated unit eigenvectors 1, 2, 3 of the symmetric matrix 1 11 A = 4 -2 4 4 The eigenvalue A₁ = has associated unit eigenvector i The eigenvalue ₂ = has associated unit eigenvector 2 = 9. The eigenvalue 3: = has associated unit eigenvector 3 = Note: The eigenvectors above form an orthonormal eigenbasis for A.

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Find the eigenvalues A1 < A2 < A3 and associated unit eigenvectors 1, 2, 3 of the
symmetric matrix
1
11
A = 4
-2 4
4
The eigenvalue A₁
=
has associated unit eigenvector i
The eigenvalue ₂ =
has associated unit eigenvector 2 =
9.
The eigenvalue 3:
=
has associated unit eigenvector 3 =
Note: The eigenvectors above form an orthonormal eigenbasis for A.
Transcribed Image Text:Find the eigenvalues A1 < A2 < A3 and associated unit eigenvectors 1, 2, 3 of the symmetric matrix 1 11 A = 4 -2 4 4 The eigenvalue A₁ = has associated unit eigenvector i The eigenvalue ₂ = has associated unit eigenvector 2 = 9. The eigenvalue 3: = has associated unit eigenvector 3 = Note: The eigenvectors above form an orthonormal eigenbasis for A.
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