diff --git a/extra/torch_backend/backend.py b/extra/torch_backend/backend.py
index da49fbcc1b..0cfde467cc 100644
--- a/extra/torch_backend/backend.py
+++ b/extra/torch_backend/backend.py
@@ -352,6 +352,11 @@ def sort_values(input, dim=-1, descending=False, stable=True, values=None, indic
   unwrap(indices).assign(out_indices.cast(dtypes.int64))
   return wrap(out_values), wrap(out_indices)
 
+@torch.library.impl("aten::_linalg_svd", "privateuseone")
+def _linalg_svd(self, full_matrices=True):
+  U, S, Vh = unwrap(self).svd(full_matrices)
+  return wrap(U), wrap(S), wrap(Vh)
+
 # register some decompositions
 from torch._decomp import get_decompositions
 decomps = [
@@ -412,6 +417,7 @@ decomps = [
   #aten.lgamma,
   # this needs copy_strided
   #aten.lerp,
+  aten.norm,
 ]
 for k,v in get_decompositions(decomps).items():
   key = str(k._schema).split("(")[0]
diff --git a/test/test_ops.py b/test/test_ops.py
index be332f0bb1..8339fbc653 100644
--- a/test/test_ops.py
+++ b/test/test_ops.py
@@ -3058,6 +3058,19 @@ class TestOps(unittest.TestCase):
   def test_bitcast(self):
     helper_test_op([(3, 3)], lambda x: x.view(torch.int32), lambda x: x.bitcast(dtypes.int32), forward_only=True)
 
+  def test_svd(self):
+    # test for tiny backend. real svd tests are in test_linalg
+    A = torch.randn(5, 5)
+    U, S, Vh = torch.linalg.svd(A, full_matrices=True)
+    np.testing.assert_allclose(torch.dist(A, U @ torch.diag(S) @ Vh).cpu().numpy(), 0, atol=1e-5)
+    U, S, Vh = torch.linalg.svd(A, full_matrices=False)
+    np.testing.assert_allclose(torch.dist(A, U @ torch.diag(S) @ Vh).cpu().numpy(), 0, atol=1e-5)
+
+    # # TODO: this works with torch, but not TINY_BACKEND. U has a wrong shape
+    # A = torch.randn(5, 3)
+    # U, S, Vh = torch.linalg.svd(A, full_matrices=False)
+    # np.testing.assert_allclose(torch.dist(A, U @ torch.diag(S) @ Vh).cpu().numpy(), 0, atol=1e-5)
+
 @unittest.skipUnless(is_dtype_supported(dtypes.uchar), f"no uint8 on {Device.DEFAULT}")
 class TestOpsUint8(unittest.TestCase):
   def test_cast(self):