1c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan KamathMatrixXf m = MatrixXf::Random(3,5); 2c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathcout << "Here is the matrix m:" << endl << m << endl; 3c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan KamathMatrixXf ker = m.fullPivLu().kernel(); 4c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathcout << "Here is a matrix whose columns form a basis of the kernel of m:" 5c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath << endl << ker << endl; 6c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathcout << "By definition of the kernel, m*ker is zero:" 7c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath << endl << m*ker << endl; 8