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      1 Tridiagonalization<MatrixXf> tri;
      2 MatrixXf X = MatrixXf::Random(4,4);
      3 MatrixXf A = X + X.transpose();
      4 tri.compute(A);
      5 cout << "The matrix T in the tridiagonal decomposition of A is: " << endl;
      6 cout << tri.matrixT() << endl;
      7 tri.compute(2*A); // re-use tri to compute eigenvalues of 2A
      8 cout << "The matrix T in the tridiagonal decomposition of 2A is: " << endl;
      9 cout << tri.matrixT() << endl;
     10