1*bf2c3715SXin Li MatrixXf m = MatrixXf::Random(3,5); 2*bf2c3715SXin Li cout << "Here is the matrix m:" << endl << m << endl; 3*bf2c3715SXin Li MatrixXf ker = m.fullPivLu().kernel(); 4*bf2c3715SXin Li cout << "Here is a matrix whose columns form a basis of the kernel of m:" 5*bf2c3715SXin Li << endl << ker << endl; 6*bf2c3715SXin Li cout << "By definition of the kernel, m*ker is zero:" 7*bf2c3715SXin Li << endl << m*ker << endl; 8