diff --git a/pandas/core/arrays/boolean.py b/pandas/core/arrays/boolean.py
index 87c18fe346c62..812b507ea22c1 100644
--- a/pandas/core/arrays/boolean.py
+++ b/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()
diff --git a/pandas/tests/arithmetic/test_numeric.py b/pandas/tests/arithmetic/test_numeric.py
index d205569270705..2170957f8b7f2 100644
--- a/pandas/tests/arithmetic/test_numeric.py
+++ b/pandas/tests/arithmetic/test_numeric.py
@@ -856,6 +856,19 @@ def test_modulo_zero_int(self):
expected = Series([np.nan, 0.0])
tm.assert_series_equal(result, expected)
+ def test_non_1d_ea_raises_notimplementederror(self):
+ # GH#61866
+ 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)
+
+ msg = "can only perform ops with 1-d structures"
+
+ with pytest.raises(NotImplementedError, match=msg):
+ ea_array * np_array
+
+ with pytest.raises(NotImplementedError, match=msg):
+ np_array * ea_array
+
class TestAdditionSubtraction:
# __add__, __sub__, __radd__, __rsub__, __iadd__, __isub__
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