1 MatrixXd X = MatrixXd::Random(5,5); 2 MatrixXd A = X + X.transpose(); 3 cout << "Here is a random symmetric 5x5 matrix:" << endl << A << endl << endl; 4 Tridiagonalization<MatrixXd> triOfA(A); 5 MatrixXd Q = triOfA.matrixQ(); 6 cout << "The orthogonal matrix Q is:" << endl << Q << endl; 7 MatrixXd T = triOfA.matrixT(); 8 cout << "The tridiagonal matrix T is:" << endl << T << endl << endl; 9 cout << "Q * T * Q^T = " << endl << Q * T * Q.transpose() << endl; 10
