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      1 MatrixXd A = MatrixXd::Random(6,6);
      2 cout << "Here is a random 6x6 matrix, A:" << endl << A << endl << endl;
      3 
      4 EigenSolver<MatrixXd> es(A);
      5 MatrixXd D = es.pseudoEigenvalueMatrix();
      6 MatrixXd V = es.pseudoEigenvectors();
      7 cout << "The pseudo-eigenvalue matrix D is:" << endl << D << endl;
      8 cout << "The pseudo-eigenvector matrix V is:" << endl << V << endl;
      9 cout << "Finally, V * D * V^(-1) = " << endl << V * D * V.inverse() << endl;
     10