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      1 MatrixXd X = MatrixXd::Random(4,4);
      2 MatrixXd A = X * X.transpose();
      3 cout << "Here is a random positive-definite matrix, A:" << endl << A << endl << endl;
      4 
      5 SelfAdjointEigenSolver<MatrixXd> es(A);
      6 MatrixXd sqrtA = es.operatorSqrt();
      7 cout << "The square root of A is: " << endl << sqrtA << endl;
      8 cout << "If we square this, we get: " << endl << sqrtA*sqrtA << endl;
      9