3. Given the state space system, answer the following questions.-D-U2 20-32+x(a) Find the eigenvalues of the A matrix and assess stability.(b) Find the matrices A2, A³, and A¹.(c) Find the matrix exponential et.

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Answered: Given the state space system, answer…

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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Given the state space system, answer the following questions. -8₁ U 2 = 22 2+ 0-3 *=[1 -1); (a) Find the eigenvalues of the A matrix and assess stability. (b) Find the matrices A², A³, and A¹. (c) Find the matrix exponential et.