diff --git a/tests/reverse_test.py b/tests/reverse_test.py
new file mode 100644
index 0000000..d21e653
--- /dev/null
+++ b/tests/reverse_test.py
@@ -0,0 +1,37 @@
+import pytest
+import torch
+from grassmann_tensor.tensor import GrassmannTensor
+
+ReverseCase = tuple[tuple[bool, ...], tuple[tuple[int, int], ...], torch.Tensor, tuple[int, ...], torch.Tensor]
+
+
+@pytest.mark.parametrize("x", [
+    ((False, False), ((1, 1), (1, 1)), torch.tensor([[1, 0], [0, 4]]), (0,), torch.tensor([[1, 0], [0, 4]])),
+    ((True, False), ((1, 1), (1, 1)), torch.tensor([[1, 0], [0, 4]]), (0,), torch.tensor([[1, 0], [0, -4]])),
+    ((False, False), ((1, 1), (1, 1)), torch.tensor([[1, 0], [0, 4]]), (1,), torch.tensor([[1, 0], [0, 4]])),
+    ((False, True), ((1, 1), (1, 1)), torch.tensor([[1, 0], [0, 4]]), (1,), torch.tensor([[1, 0], [0, -4]])),
+    ((False, False, False), ((1, 1), (1, 1), (1, 1)), torch.tensor([[[1, 0], [0, 2]], [[0, 3], [4, 0]]]), (0,), torch.tensor([[[1, 0], [0, 2]], [[0, 3], [4, 0]]])),
+    ((True, False, False), ((1, 1), (1, 1), (1, 1)), torch.tensor([[[1, 0], [0, 2]], [[0, 3], [4, 0]]]), (0,), torch.tensor([[[1, 0], [0, 2]], [[0, -3], [-4, 0]]])),
+    ((False, True, True), ((1, 1), (1, 1), (1, 1)), torch.tensor([[[1, 0], [0, 2]], [[0, 3], [4, 0]]]), (2,), torch.tensor([[[1, 0], [0, -2]], [[0, -3], [4, 0]]])),
+    ((True, False, True), ((1, 1), (1, 1), (1, 1)), torch.tensor([[[1, 0], [0, 2]], [[0, 3], [4, 0]]]), (0, 1), torch.tensor([[[1, 0], [0, 2]], [[0, -3], [-4, 0]]])),
+    ((True, True, True), ((1, 1), (1, 1), (1, 1)), torch.tensor([[[1, 0], [0, 2]], [[0, 3], [4, 0]]]), (0, 1), torch.tensor([[[1, 0], [0, -2]], [[0, -3], [4, 0]]])),
+])
+def test_reverse(x: ReverseCase) -> None:
+    arrow, edges, tensor, reverse_by, expected = x
+    grassmann_tensor = GrassmannTensor(arrow, edges, tensor)
+    result = grassmann_tensor.reverse(reverse_by)
+    assert torch.allclose(result.tensor, expected)
+
+
+ReverseFailCase = tuple[tuple[bool, ...], tuple[tuple[int, int], ...], torch.Tensor, tuple[int, ...]]
+
+
+@pytest.mark.parametrize("x", [
+    ((False, False), ((1, 1), (1, 1)), torch.tensor([[1, 0], [0, 4]]), (0, 0)),
+    ((False, False), ((1, 1), (1, 1)), torch.tensor([[1, 0], [0, 4]]), (2,)),
+])
+def test_reverse_fail(x: ReverseFailCase) -> None:
+    arrow, edges, tensor, reverse_by = x
+    grassmann_tensor = GrassmannTensor(arrow, edges, tensor)
+    with pytest.raises(AssertionError):
+        grassmann_tensor.reverse(reverse_by)