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      1 Vector2f v = Vector2f::Random();
      2 JacobiRotation<float> G;
      3 G.makeGivens(v.x(), v.y());
      4 cout << "Here is the vector v:" << endl << v << endl;
      5 v.applyOnTheLeft(0, 1, G.adjoint());
      6 cout << "Here is the vector J' * v:" << endl << v << endl;