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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;