sync the documentation examples
diff --git a/doc/snippets/PartialLU_solve.cpp b/doc/snippets/PartialLU_solve.cpp
index d9ccbe9..69e788d 100644
--- a/doc/snippets/PartialLU_solve.cpp
+++ b/doc/snippets/PartialLU_solve.cpp
@@ -2,7 +2,6 @@
 MatrixXd B = MatrixXd::Random(3,2);
 cout << "Here is the invertible matrix A:" << endl << A << endl;
 cout << "Here is the matrix B:" << endl << B << endl;
-MatrixXd X;
-A.partialLu().solve(B, &X);
+MatrixXd X = A.partialLu().solve(B);
 cout << "Here is the (unique) solution X to the equation AX=B:" << endl << X << endl;
 cout << "Relative error: " << (A*X-B).norm() / B.norm() << endl;