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Find the eigenvalues A1 < A, and associated unit eigenvectors ū1, ū2 of the symmetric matrix 6 A 6 -13

Find the eigenvalues A1 < A, and associated unit eigenvectors ū1, ū2 of the symmetric matrix 6 A 6 -13

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 2

 

Find the eigenvalues A1 < A2 and associated unit eigenvectors ū1, ūz of the symmetric matrix [3 A = 6 -13 The smaller eigenvalue A1 = -15 has associated unit eigenvector ū1= 3 2 1 The larger eigenvalue A2 = 5 has associated unit eigenvector iz = 3 1 2 Note: The eigenvectors above form an orthonormal eigenbasis for A.
Transcribed Image Text:Find the eigenvalues A1 < A2 and associated unit eigenvectors ū1, ūz of the symmetric matrix [3 A = 6 -13 The smaller eigenvalue A1 = -15 has associated unit eigenvector ū1= 3 2 1 The larger eigenvalue A2 = 5 has associated unit eigenvector iz = 3 1 2 Note: The eigenvectors above form an orthonormal eigenbasis for A.
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