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Find the eigenvalues of the matrix A. The eigenvalues are A₁ < A₂ < 3 < A4, where A = -31 12 0 0 -56 21 0 0 0 0 6 -2 0 00 4

Find the eigenvalues of the matrix A. The eigenvalues are A₁ < A₂ < 3 < A4, where A = -31 12 0 0 -56 21 0 0 0 0 6 -2 0 00 4

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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Find the eigenvalues of the matrix A. The eigenvalues are A₁ < A₂ < 3 < A4, where 2 = -0 has an eigenvector X3 -0₁ has an eigenvector X₂ = -0 has an eigenvector 1 X4 = -0 has an eigenvector || A = = -31 12 0 0 -56 21 0 0 0 0 6-2 0 0 4 0 Note: you may want to use a graphing calculator to estimate the roots of the polynomial which defines the eigenvalues.
Transcribed Image Text:Find the eigenvalues of the matrix A. The eigenvalues are A₁ < A₂ < 3 < A4, where 2 = -0 has an eigenvector X3 -0₁ has an eigenvector X₂ = -0 has an eigenvector 1 X4 = -0 has an eigenvector || A = = -31 12 0 0 -56 21 0 0 0 0 6-2 0 0 4 0 Note: you may want to use a graphing calculator to estimate the roots of the polynomial which defines the eigenvalues.
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