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Show that the eigenvalues of the symmetric matrix 10-4] A = 05 4 -4 4 3 are 9, 3 and -3. Obtain the corresponding eigenvectors in normalized form, and write down the normalized modal matrix M. Confirm that M¹AM = A where A is the spectral matrix of A.

Show that the eigenvalues of the symmetric matrix 10-4] A = 05 4 -4 4 3 are 9, 3 and -3. Obtain the corresponding eigenvectors in normalized form, and write down the normalized modal matrix M. Confirm that M¹AM = A where A is the spectral matrix of A.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Show that the eigenvalues of the symmetric matrix 10-4 A = 05 4 -4 4 3 are 9,3 and -3. Obtain the corresponding eigenvectors in normalized form, and write down the normalized modal matrix M. Confirm that M¹AM = A where A is the spectral matrix of A.
Transcribed Image Text:Show that the eigenvalues of the symmetric matrix 10-4 A = 05 4 -4 4 3 are 9,3 and -3. Obtain the corresponding eigenvectors in normalized form, and write down the normalized modal matrix M. Confirm that M¹AM = A where A is the spectral matrix of A.
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