diff --git a/Eigen/src/Core/Inverse.h b/Eigen/src/Core/Inverse.h
index f303aebf9..b76f0439d 100644
--- a/Eigen/src/Core/Inverse.h
+++ b/Eigen/src/Core/Inverse.h
@@ -45,6 +45,7 @@ class Inverse : public InverseImpl<XprType,typename internal::traits<XprType>::S
 public:
   typedef typename XprType::StorageIndex StorageIndex;
   typedef typename XprType::PlainObject                       PlainObject;
+  typedef typename XprType::Scalar                            Scalar;
   typedef typename internal::ref_selector<XprType>::type      XprTypeNested;
   typedef typename internal::remove_all<XprTypeNested>::type  XprTypeNestedCleaned;
   typedef typename internal::ref_selector<Inverse>::type Nested;
diff --git a/test/permutationmatrices.cpp b/test/permutationmatrices.cpp
index 41aa57d6d..70b469ebc 100644
--- a/test/permutationmatrices.cpp
+++ b/test/permutationmatrices.cpp
@@ -108,7 +108,14 @@ template<typename MatrixType> void permutationmatrices(const MatrixType& m)
     rm = rp;
     rm.col(i).swap(rm.col(j));
     VERIFY_IS_APPROX(rm, rp2.toDenseMatrix().template cast<Scalar>());
-  }  
+  }
+
+  {
+    // simple compilation check
+    Matrix<Scalar, Cols, Cols> A = rp;
+    Matrix<Scalar, Cols, Cols> B = rp.transpose();
+    VERIFY_IS_APPROX(A, B.transpose());
+  }
 }
 
 template<typename T>