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Find the eigenvalues and the eigenvectors of the following system of DE: * = 2x – 7y 5x + 10y + 4z %3D dt * = 5y + 2z %3D

Find the eigenvalues and the eigenvectors of the following system of DE: * = 2x – 7y 5x + 10y + 4z %3D dt * = 5y + 2z %3D

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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13) Please help with following multiple choice ASAP!

*Note question divided into two separate pictures.

Find the eigenvalues and the eigenvectors of the following system of DE: dx 2т - 7у dt dy 5x + 10y + 4z dt dz 5y + 2z %3D dt O The eigenvalues are: A1 = -2, 2 = -5, 13 = 7. The eigenvectors are: (0) K1 1 K2 -3 K3 %3D 6. 5 O The eigenvalues are: A1 = 2, d2 = 5, A3 = 7. %3D The eigenvectors are: 4 () -7 K1 = K2 3 K3 %3D %3D -5
Transcribed Image Text:Find the eigenvalues and the eigenvectors of the following system of DE: dx 2т - 7у dt dy 5x + 10y + 4z dt dz 5y + 2z %3D dt O The eigenvalues are: A1 = -2, 2 = -5, 13 = 7. The eigenvectors are: (0) K1 1 K2 -3 K3 %3D 6. 5 O The eigenvalues are: A1 = 2, d2 = 5, A3 = 7. %3D The eigenvectors are: 4 () -7 K1 = K2 3 K3 %3D %3D -5
K1 K2 3 K3 -5 O The eigenvalues are: A1 = 2, 2 = -5, A3 = 7. () 4 -7 The eigenvectors are: K1 K2 K3 -5 O The eigenvalues are: A1 = -2, A2 = 5, A3 = -7. %3D The eigenvectors are: 4 -7 7 K1 K2 K3 -5 %3D -5
Transcribed Image Text:K1 K2 3 K3 -5 O The eigenvalues are: A1 = 2, 2 = -5, A3 = 7. () 4 -7 The eigenvectors are: K1 K2 K3 -5 O The eigenvalues are: A1 = -2, A2 = 5, A3 = -7. %3D The eigenvectors are: 4 -7 7 K1 K2 K3 -5 %3D -5
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