Matrix4d X = Matrix4d::Random(4,4);
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Matrix4d A = X + X.transpose();
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cout << "Here is a random symmetric 4x4 matrix:" << endl << A << endl;
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Tridiagonalization<Matrix4d> triOfA(A);
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Vector3d hc = triOfA.householderCoefficients();
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cout << "The vector of Householder coefficients is:" << endl << hc << endl;
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