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