(2 5 0 0 0 0 2 0 0 0 b) Given a square 5×5 block diagonal matrix A = | 0 0 4 2 0 . Find; 0 0 3 5 0 0 0 0 0 7, i. The characteristic polynomial of A. ii. The eigenvalue of A iii. The eigenvectors of A

(2 5 0 0 0 0 2 0 0 0 b) Given a square 5×5 block diagonal matrix A = | 0 0 4 2 0 . Find; 0 0 3 5 0 0 0 0 0 7, i. The characteristic polynomial of A. ii. The eigenvalue of A iii. The eigenvectors of A

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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Question

2 5000
0 2 0 0 0
b) Given a square 5×5 block diagonal matrix A = 0 0 4 2 0.Find;
0 0 3 5 0
0 0 0 0 7
i. The characteristic polynomial of A.
ii. The eigenvalue of A
iii.
The eigenvectors of A

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