1 Matrix4f A = MatrixXf::Random(4,4); 2 cout << "Here is a random 4x4 matrix:" << endl << A << endl; 3 HessenbergDecomposition<MatrixXf> hessOfA(A); 4 MatrixXf H = hessOfA.matrixH(); 5 cout << "The Hessenberg matrix H is:" << endl << H << endl; 6 MatrixXf Q = hessOfA.matrixQ(); 7 cout << "The orthogonal matrix Q is:" << endl << Q << endl; 8 cout << "Q H Q^T is:" << endl << Q * H * Q.transpose() << endl; 9