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  1. Matrix3f A;
  2. Vector3f b;
  3. A << 1,2,3, 4,5,6, 7,8,9;
  4. b << 3, 3, 4;
  5. cout << "Here is the matrix A:" << endl << A << endl;
  6. cout << "Here is the vector b:" << endl << b << endl;
  7. Vector3f x;
  8. x = A.lu().solve(b);
  9. cout << "The solution is:" << endl << x << endl;