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// example 3.27
// a) find eigenvalue and eigen vector;
// b) verify inv(S)*A*S is a diagonal matrix;
// 1)
A=[1 2 -2 ;1 1 1;1 3 -1];
B=[1 0 0;0 1 0; 0 0 1];
[x,lam] = geigenvectors(A,B);
inv(x)*A*x
// 2)
A=[3 2 2;2 5 2;2 2 3];
B=[1 0 0;0 1 0; 0 0 1];
[x,lam] = geigenvectors(A,B);
inv(x)*A*x
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