Given the system matrix of a third order system as A 0 1 0

Given the system matrix of a third order system as A = [0 1 0 0 0 1 -24 -26 -9] Use MATLAB to obtain eigenvalues and eigenvectors of A Use modal decomposition to obtain response in analytical form of x_1(t), x_2(t), x_3(t) for the following cases of initial conditions. x(0) = [-2 8 -32] x(0) = [1 0 0] x(0) = [3 -6 12]

Solution

%matlab code for eigen values and vector for a given matrix

% a is the input matrix

a=[0 1 0;0 0 1;-24 -26 -9];

% eigen values and right eigen vectors of a matrix a is given below

[v,d]=Eig(a)