diff --git a/py/torch_tensorrt/dynamo/conversion/aten_ops_converters.py b/py/torch_tensorrt/dynamo/conversion/aten_ops_converters.py
index 6cd44f4855..99007e2a4d 100644
--- a/py/torch_tensorrt/dynamo/conversion/aten_ops_converters.py
+++ b/py/torch_tensorrt/dynamo/conversion/aten_ops_converters.py
@@ -171,6 +171,7 @@ def aten_ops_gelu(
 
 @dynamo_tensorrt_converter(torch.ops.aten.matmul)  # type: ignore[misc]
 @dynamo_tensorrt_converter(torch.ops.aten.mm.default)  # type: ignore[misc]
+@dynamo_tensorrt_converter(torch.ops.aten.mv.default)  # type: ignore[misc]
 def aten_ops_matmul(
     network: TRTNetwork,
     target: Target,
@@ -179,7 +180,12 @@ def aten_ops_matmul(
     name: str,
 ) -> Union[TRTTensor, Sequence[TRTTensor]]:
     return impl.matmul.matrix_multiply(
-        network, target, SourceIR.ATEN, name, args[0], args[1]
+        network,
+        target,
+        SourceIR.ATEN,
+        name,
+        args[0],
+        args[1],
     )
 
 
diff --git a/py/torch_tensorrt/dynamo/conversion/impl/matmul.py b/py/torch_tensorrt/dynamo/conversion/impl/matmul.py
index 3e1bef66ef..4b69b09d2a 100644
--- a/py/torch_tensorrt/dynamo/conversion/impl/matmul.py
+++ b/py/torch_tensorrt/dynamo/conversion/impl/matmul.py
@@ -1,5 +1,6 @@
 from typing import Optional
 
+import tensorrt as trt
 from torch.fx.node import Target
 from torch_tensorrt.dynamo._SourceIR import SourceIR
 from torch_tensorrt.fx.converters.converter_utils import (
@@ -10,8 +11,6 @@
 from torch_tensorrt.fx.types import TRTNetwork, TRTTensor
 from torch_tensorrt.fx.utils import Frameworks, unified_dtype_converter
 
-import tensorrt as trt
-
 
 def matrix_multiply(
     network: TRTNetwork,
@@ -20,6 +19,8 @@ def matrix_multiply(
     name: str,
     input: TRTTensor,
     other: TRTTensor,
+    input_matrix_op: trt.MatrixOperation = trt.MatrixOperation.NONE,
+    other_matrix_op: trt.MatrixOperation = trt.MatrixOperation.NONE,
 ) -> TRTTensor:
     if not isinstance(input, trt.tensorrt.ITensor):
         input = get_trt_tensor(network, input, f"{name}_input")
@@ -31,7 +32,6 @@ def matrix_multiply(
             dtype=unified_dtype_converter(input.dtype, Frameworks.TORCH),
         )
 
-    input_matrix_op = other_matrix_op = trt.MatrixOperation.NONE
     preset_diff = 0
 
     if len(input.shape) == 1:
@@ -46,5 +46,5 @@ def matrix_multiply(
         network, input, other, f"{name}_input", f"{name}_other", preset_diff
     )
     layer = network.add_matrix_multiply(input, input_matrix_op, other, other_matrix_op)
-    set_layer_name(layer, target, name)
+    set_layer_name(layer, target, name, source_ir)
     return layer.get_output(0)
diff --git a/tests/py/dynamo/conversion/test_matmul_aten.py b/tests/py/dynamo/conversion/test_matmul_aten.py
index c0220d1808..816686c4ec 100644
--- a/tests/py/dynamo/conversion/test_matmul_aten.py
+++ b/tests/py/dynamo/conversion/test_matmul_aten.py
@@ -9,18 +9,44 @@
 class TestMatMulConverter(DispatchTestCase):
     @parameterized.expand(
         [
-            ("2_2", (2, 3), (3, 2)),
-            ("2_2", (2, 3), (3, 1)),
-            # FIXME torch.ops.aten.mv.default for (2,3), (3,1) - should mv be lowered to mm?
-            # (2,3), (3,) torch.ops.aten.mv.default
-            # Following cases use torch.ops.aten.bmm.defauly
+            (
+                "2_2",
+                (2, 3),
+                (3, 2),
+            ),
+            (
+                "4_6",
+                (4, 5),
+                (5, 6),
+            ),
+            (
+                "2_1",
+                (2, 3),
+                (3, 1),
+            ),
+            (
+                "4_1",
+                (4, 1),
+                (1, 1),
+            ),
+            (
+                "1_2",
+                (1, 3),
+                (3, 2),
+            ),
+            (
+                "1_3",
+                (1, 2),
+                (2, 3),
+            ),
+            # Following cases use torch.ops.aten.bmm.default
             # ("4_3", (3,1,3,2), (2,2,3)),
             # ("3_4", (3,1,3,2), (2,2,3)),
             # ("3_4", (2, 2, 3), (3, 1, 3, 3)),
             # ("4_2", (1, 2, 2, 3), (3, 2)),
         ]
     )
-    def test_matmul_other_constant(self, _, input_shape, other_shape):
+    def test_matmul_mm(self, _, input_shape, other_shape):
         class MatMul(nn.Module):
             def __init__(self):
                 super().__init__()
@@ -39,32 +65,43 @@ def forward(self, input):
 
     @parameterized.expand(
         [
-            ("2_2", (2, 3), (3, 2)),
-            ("1_2", (1, 3), (3, 2)),
-            # FIXME torch.ops.aten.mv.default for (2,3), (3,1) - should mv be lowered to mm?
-            # (2,3), (3,) torch.ops.aten.mv.default
-            # Following cases use torch.ops.aten.bmm.defauly
-            # ("4_3", (3,1,3,2), (2,2,3)),
-            # ("3_4", (3,1,3,2), (2,2,3)),
-            # ("3_4", (2, 2, 3), (3, 1, 3, 3)),
-            # ("4_2", (1, 2, 2, 3), (3, 2)),
+            (
+                "1_1",
+                (1, 1),
+                (1,),
+            ),
+            (
+                "1_1",
+                (1, 2),
+                (2,),
+            ),
+            (
+                "2_1",
+                (2, 1),
+                (1,),
+            ),
+            (
+                "3_1",
+                (3, 4),
+                (4,),
+            ),
         ]
     )
-    def test_matmul_input_constant(self, _, input_shape, other_shape):
+    def test_matmul_mv(self, _, input_shape, other_shape):
         class MatMul(nn.Module):
             def __init__(self):
                 super().__init__()
-                self.input = nn.Parameter(torch.randn(*input_shape))
+                self.other = nn.Parameter(torch.randn(*other_shape))
 
-            def forward(self, other):
-                return torch.matmul(self.input, other)
+            def forward(self, input):
+                return torch.matmul(input, self.other)
 
-        inputs = [torch.randn(*other_shape)]
+        inputs = [torch.randn(*input_shape)]
 
         self.run_test(
             MatMul(),
             inputs,
-            expected_ops={torch.ops.aten.mm.default},
+            expected_ops={torch.ops.aten.mv.default},
         )
 
     @parameterized.expand(