BUG: Fix ExtensionArray binary op protocol

pandas/core/arrays/boolean.py

@@ -379,7 +379,7 @@ def _logical_method(self, other, op):  # type: ignore[override]
         elif is_list_like(other):
             other = np.asarray(other, dtype="bool")
             if other.ndim > 1:
-                raise NotImplementedError("can only perform ops with 1-d structures")
+                return NotImplemented
             other, mask = coerce_to_array(other, copy=False)
         elif isinstance(other, np.bool_):
             other = other.item()

pandas/tests/arithmetic/test_numeric.py

@@ -856,6 +856,33 @@ def test_modulo_zero_int(self):
             expected = Series([np.nan, 0.0])
             tm.assert_series_equal(result, expected)
 
+    def test_np_array_mul_ea_array_returns_extensionarray(self):
+        np_array = np.array([1, 2, 3, 4, 5], dtype=np.int64)
+        ea_array = array([1, 2, 3, 4, 5], dtype="Int64")
+        result = np_array * ea_array
+        assert isinstance(result, type(ea_array))
+        tm.assert_equal(result, array([1, 4, 9, 16, 25], dtype="Int64"))
+
+    def test_df_mul_np_and_ea_array_shape_and_errors(self):
+        df = pd.DataFrame(np.arange(50).reshape(10, 5)).notna().values
+        NP_array = np.array(list(range(10)), dtype=np.int64).reshape(10, 1)
+        EA_array = array(list(range(10)), dtype="Int64").reshape(10, 1)
+        result_np = df * NP_array
+        assert isinstance(result_np, np.ndarray)
+        tm.assert_equal(result_np.shape, (10, 5))
+
+        with pytest.raises(NotImplementedError):
+            _ = df * EA_array
+
+    def test_non_1d_ea_raises_typeerror(self):
+        ea_array = array([1, 2, 3, 4, 5], dtype="Int64").reshape(5, 1)
+        np_array = np.array([1, 2, 3, 4, 5], dtype=np.int64).reshape(5, 1)
+
+        with pytest.raises(NotImplementedError):
+            _ = ea_array * np_array
+        with pytest.raises(NotImplementedError):
+            _ = np_array * ea_array
+
 
 class TestAdditionSubtraction:
     # __add__, __sub__, __radd__, __rsub__, __iadd__, __isub__