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      1 Matrix4d X = Matrix4d::Random(4,4);
      2 Matrix4d A = X + X.transpose();
      3 cout << "Here is a random symmetric 4x4 matrix:" << endl << A << endl;
      4 Tridiagonalization<Matrix4d> triOfA(A);
      5 Matrix4d pm = triOfA.packedMatrix();
      6 cout << "The packed matrix M is:" << endl << pm << endl;
      7 cout << "The diagonal and subdiagonal corresponds to the matrix T, which is:"
      8      << endl << triOfA.matrixT() << endl;
      9