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Find the eigenvalues A1 < A2 < A3 and associated unit eigenvectors ü1, ủz, üz of the symmetric matrix Г2 2 27 A = |2 0 4 2 4 0

Find the eigenvalues A1 < A2 < A3 and associated unit eigenvectors ü1, ủz, üz of the symmetric matrix Г2 2 27 A = |2 0 4 2 4 0

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 6.1 Question 5

You have answered 3 out of 6 parts correctly. Find the eigenvalues λ₁ < λ2 < A3 and associated unit eigenvectors ₁, 2, 3 of the symmetric matrix A = 2 2 2 20 4 2 40 The eigenvalue X₁ = −4 has associated unit eigenvector u₁ = 0 −1 1 The eigenvalue X₂ = 0 has associated unit eigenvector 2: = -2 1 1 The eigenvalue X3 = 6 has associated unit eigenvector 3 = 1 1 1 m1
Transcribed Image Text:You have answered 3 out of 6 parts correctly. Find the eigenvalues λ₁ < λ2 < A3 and associated unit eigenvectors ₁, 2, 3 of the symmetric matrix A = 2 2 2 20 4 2 40 The eigenvalue X₁ = −4 has associated unit eigenvector u₁ = 0 −1 1 The eigenvalue X₂ = 0 has associated unit eigenvector 2: = -2 1 1 The eigenvalue X3 = 6 has associated unit eigenvector 3 = 1 1 1 m1
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