Answered: (с) Ав B = 0 -3 (d) А- %3D -3 3.

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(с) Ав B = 0 -3 (d) А- %3D -3 3.

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

100%

It is expressed as the state equations of a linear time invariant system.

dx(t) / d(t) = Ax(t)+Bu(t)

Find the state transition matrix Փ(t), the characteristic equation and the eigenvalues of A for the following systems:

(a) A =
В
1
(b) . А:
B =
-5
-3
(с) А-
B =
0 -3
3
(d) A =
B =
--3

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