2. Consider the state equationx11 20x1dx2= 0 10x2dtx3001x3where x1, x2 and 23 are state variables. Please answer the following questions.(a) The state matrix(4)1 20A =0 1 0(5)0 0 1has three-fold eigenvalues with \₁==A2 A3 1. Find all independent eigenvectorscorresponding to this eigenvalue.(b) Find the modal matrix M associated with the state matrix A. Does M-1 AM lead toa Jordan form or not? Hint: The modal matrix M turns out to be a diagonal matrix.For a diagonal matrix, its inverse is given bya 000b0-11/a 00= 01/b000 с001/c1(6)(c) Find the state transition matrix (t).(d) Determine the stability of the system. Please justify your answer.

Step 1:(a) To find the independent eigenvectors corresponding to the eigenvalue λ=1, we need to…

Answered: 2. Consider the state equation x1 1 20…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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