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Find the eigenvalues A1 < A2 and associated unit eigenvectors ü1, ủg of the symmetric matrix 7 61 A -2.

Find the eigenvalues A1 < A2 and associated unit eigenvectors ü1, ủg of the symmetric matrix 7 61 A -2.

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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Chapter 8.1 Question 4

 

Find the eigenvalues A1 < A2 and associated unit eigenvectors ü1, ủg of the symmetric matrix -61 7 A = -6 -2 The smaller eigenvalue A1 = -5 has associated unit eigenvector ū1= 1 2 The larger eigenvalue A2 = 10 has associated unit eigenvector i2 = -1 Note: The eigenvectors above form an orthonormal eigenbasis for A.
Transcribed Image Text:Find the eigenvalues A1 < A2 and associated unit eigenvectors ü1, ủg of the symmetric matrix -61 7 A = -6 -2 The smaller eigenvalue A1 = -5 has associated unit eigenvector ū1= 1 2 The larger eigenvalue A2 = 10 has associated unit eigenvector i2 = -1 Note: The eigenvectors above form an orthonormal eigenbasis for A.
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