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      1 Matrix3d m = Matrix3d::Random();
      2 cout << "Here is the matrix m:" << endl << m << endl;
      3 Matrix3d inverse;
      4 bool invertible;
      5 m.computeInverseWithCheck(inverse,invertible);
      6 if(invertible) {
      7   cout << "It is invertible, and its inverse is:" << endl << inverse << endl;
      8 }
      9 else {
     10   cout << "It is not invertible." << endl;
     11 }
     12