Matrix4Xd M = Matrix4Xd::Random(4, 5);
Projective3d P(Matrix4d::Random());
cout << "The matrix M is:" << endl << M << endl << endl;
cout << "M.colwise().hnormalized():" << endl << M.colwise().hnormalized() << endl << endl;
cout << "P*M:" << endl << P * M << endl << endl;
cout << "(P*M).colwise().hnormalized():" << endl << (P * M).colwise().hnormalized() << endl << endl;