Incorporate review comments

src/probnum/linops/_linear_operator.py

@@ -388,7 +388,7 @@ def _set_property(self, name: str, value: Optional[bool]):
         if curr_value is not None:
             assert isinstance(curr_value, bool)
 
-            raise ValueError(f"Can not change the value of the matrix property {name}")
+            raise ValueError(f"Can not change the value of the matrix property {name}.")
 
         if not isinstance(value, bool):
             raise TypeError(

src/probnum/linops/_scaling.py

@@ -318,13 +318,13 @@ def _cholesky(self, lower: bool = True) -> Scaling:
         if self._scalar is not None:
             if self._scalar <= 0:
                 raise np.linalg.LinAlgError(
-                    "The linear operator is not positive definite"
+                    "The linear operator is not positive definite."
                 )
 
             return Scaling(np.sqrt(self._scalar), shape=self.shape)
 
         if np.any(self._factors <= 0):
-            raise np.linalg.LinAlgError("The linear operator is not positive definite")
+            raise np.linalg.LinAlgError("The linear operator is not positive definite.")
 
         return Scaling(np.sqrt(self._factors))
 
@@ -355,11 +355,7 @@ def __init__(self, shape, dtype=np.float64):
             det=det,
             trace=trace,
         )
-
-        # Matrix properties
-        if self.is_square:
-            self.is_symmetric = True
-            self.is_lower_triangular = True
+4
             self.is_upper_triangular = True
 
             self.is_positive_definite = False