Matrix m = Matrix::Random();
Matrix2f y = Matrix2f::Random();
cout << "Here is the matrix m:" << endl << m << endl;
cout << "Here is the matrix y:" << endl << y << endl;
Matrix x = m.fullPivLu().solve(y);
if((m*x).isApprox(y))
{
cout << "Here is a solution x to the equation mx=y:" << endl << x << endl;
}
else
cout << "The equation mx=y does not have any solution." << endl;