1 Matrix3d m; 2 m << 1,1,0, 3 1,3,2, 4 0,1,1; 5 cout << "Here is the matrix m:" << endl << m << endl; 6 cout << "Notice that the middle column is the sum of the two others, so the " 7 << "columns are linearly dependent." << endl; 8 cout << "Here is a matrix whose columns have the same span but are linearly independent:" 9 << endl << m.fullPivLu().image(m) << endl; 10