Find the eigenvalues A1 < A2 < Az and associated unit eigenvectors ū1, ūz, ūz of the symmetric matri 2 2 5 A = |2 2 5 5 -1 he eigenvalue A, = has associated unit eigenvector ū, = he eigenvalue A, = has associated unit eigenvector ūz = he eigenvalue Ag = has associated unit eigenvector ūz lote: The eigenvectors above form an orthonormal eigenbasis for A.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Find the eigenvalues A1 < A2 < Az and associated unit eigenvectors ū1, ü2, ủz of the symmetric matrix
2 2
A = | 2 2
5 5
-1
The eigenvalue A1
has associated unit eigenvector ū1 =
The eigenvalue A2 =
has associated unit eigenvector u, =
The eigenvalue A3
has associated unit eigenvector ūz3
Note: The eigenvectors above form an orthonormal eigenbasis for A.
Transcribed Image Text:Find the eigenvalues A1 < A2 < Az and associated unit eigenvectors ū1, ü2, ủz of the symmetric matrix 2 2 A = | 2 2 5 5 -1 The eigenvalue A1 has associated unit eigenvector ū1 = The eigenvalue A2 = has associated unit eigenvector u, = The eigenvalue A3 has associated unit eigenvector ūz3 Note: The eigenvectors above form an orthonormal eigenbasis for A.
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