syms m11 m12 m13 m21 m22 m23 m31 m32 m33 ^ t m s=%s; poly(0,"l"); A=[3 -2;-1 2] [r c]=size(A) I=eye(r,c); p=l*I-A; q=det(p); // determinant of li-p // roots of q are l1=1; l2=4; x1=[m11;m21]; q1=(l1*I-A)*1 //on solving m11=1; m21=1; x2=[m12;m22]; q2=(l2*I-A)*1 //on solving; m12=2; m22=-1; // modal matrix is M=[m11 m12;m21 m22] q=inv(M) A1=real(q*A*M)