diff --git a/Eigen/src/Core/ProductEvaluators.h b/Eigen/src/Core/ProductEvaluators.h
index a230044583f40ee21bf607cc147d406677a3703d..5955e496f659bd9f8273e08e627148accb55fabf 100644
--- a/Eigen/src/Core/ProductEvaluators.h
+++ b/Eigen/src/Core/ProductEvaluators.h
@@ -1264,6 +1264,14 @@ struct generic_product_impl<Lhs, Rhs, SkewSymmetricShape, SkewSymmetricShape, Pr
   }
 };
 
+template <typename Lhs, typename Rhs, int ProductTag, typename MatrixShape>
+struct generic_product_impl<Lhs, Rhs, MatrixShape, HomogeneousShape, ProductTag>
+    : generic_product_impl<Lhs, typename Rhs::PlainObject, MatrixShape, DenseShape, ProductTag> {};
+
+template <typename Lhs, typename Rhs, int ProductTag, typename MatrixShape>
+struct generic_product_impl<Lhs, Rhs, HomogeneousShape, MatrixShape, ProductTag>
+    : generic_product_impl<typename Lhs::PlainObject, Rhs, DenseShape, MatrixShape, ProductTag> {};
+
 }  // end namespace internal
 
 }  // end namespace Eigen
diff --git a/Eigen/src/Geometry/Homogeneous.h b/Eigen/src/Geometry/Homogeneous.h
index 795af0d8d6e8fa9ba7dad71322d18c19bd07b62d..4159dc6d0cea999692aa3eda3a190dc1110dc00c 100644
--- a/Eigen/src/Geometry/Homogeneous.h
+++ b/Eigen/src/Geometry/Homogeneous.h
@@ -80,14 +80,12 @@ class Homogeneous : public MatrixBase<Homogeneous<MatrixType, Direction_> >, int
 
   template <typename Rhs>
   EIGEN_DEVICE_FUNC inline const Product<Homogeneous, Rhs> operator*(const MatrixBase<Rhs>& rhs) const {
-    eigen_assert(int(Direction) == Horizontal);
     return Product<Homogeneous, Rhs>(*this, rhs.derived());
   }
 
   template <typename Lhs>
   friend EIGEN_DEVICE_FUNC inline const Product<Lhs, Homogeneous> operator*(const MatrixBase<Lhs>& lhs,
                                                                             const Homogeneous& rhs) {
-    eigen_assert(int(Direction) == Vertical);
     return Product<Lhs, Homogeneous>(lhs.derived(), rhs);
   }
 
diff --git a/test/geo_homogeneous.cpp b/test/geo_homogeneous.cpp
index cb14413f71e6c256986f1c7c4a63dcea6bf69690..638fbec1ee839dbde3d3ebd11bff68803f9c21a0 100644
--- a/test/geo_homogeneous.cpp
+++ b/test/geo_homogeneous.cpp
@@ -112,6 +112,18 @@ void homogeneous(void) {
 
   VERIFY_IS_APPROX((t2.template triangularView<Lower>() * v0.homogeneous()).eval(),
                    (t2.template triangularView<Lower>() * hv0));
+
+  {
+    const MatrixType points = MatrixType::Random();
+    const VectorType center = VectorType::Random();
+
+    const auto pts3 = points.rowwise() - center.transpose();
+    const auto pts_xy1 = pts3.template leftCols<Size - 1>().rowwise().homogeneous();
+    const auto pts_xy2 = pts3.template topRows<Size - 1>().colwise().homogeneous();
+
+    VERIFY_IS_APPROX(pts_xy1.transpose() * pts_xy1, pts_xy1.transpose() * pts_xy1.eval());
+    VERIFY_IS_APPROX(pts_xy2 * pts_xy2.transpose(), pts_xy2.eval() * pts_xy2.transpose());
+  }
 }
 
 EIGEN_DECLARE_TEST(geo_homogeneous) {