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      1 typedef Matrix<double,3,Dynamic> Matrix3Xd;
      2 Matrix3Xd M = Matrix3Xd::Random(3,5);
      3 Projective3d P(Matrix4d::Random());
      4 cout << "The matrix M is:" << endl << M << endl << endl;
      5 cout << "M.colwise().homogeneous():" << endl << M.colwise().homogeneous() << endl << endl;
      6 cout << "P * M.colwise().homogeneous():" << endl << P * M.colwise().homogeneous() << endl << endl;
      7 cout << "P * M.colwise().homogeneous().hnormalized(): " << endl << (P * M.colwise().homogeneous()).colwise().hnormalized() << endl << endl;