Matrix3f A(3,3);
A << 1,2,3,  4,5,6,  7,8,10;
Matrix<float,3,2> B;
B << 3,1, 3,1, 4,1;
Matrix<float,3,2> X;
X = A.fullPivLu().solve(B);
cout << "The solution with right-hand side (3,3,4) is:" << endl;
cout << X.col(0) << endl;
cout << "The solution with right-hand side (1,1,1) is:" << endl;
cout << X.col(1) << endl;