Find the eigenvalues A1 < A2 and associated unit eigenvectors ū1, üz of the symmetric matrix 12 A = -9 -9 -12 The smaller eigenvalue A1 = has associated unit eigenvector ūi The larger eigenvalue A2 = has associated unit eigenvector ū2 Note: 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 and associated unit eigenvectors ū1, ū2 of the symmetric matrix
12
-9
А
-9 -12
The smaller eigenvalue A1 =
A has associated unit eigenvector ū1
The larger eigenvalue X2 =
2 has associated unit eigenvector u2 =
Note: The eigenvectors above form an orthonormal eigenbasis for A.
Transcribed Image Text:Find the eigenvalues A1 < A2 and associated unit eigenvectors ū1, ū2 of the symmetric matrix 12 -9 А -9 -12 The smaller eigenvalue A1 = A has associated unit eigenvector ū1 The larger eigenvalue X2 = 2 has associated unit eigenvector u2 = Note: The eigenvectors above form an orthonormal eigenbasis for A.
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