Repository: pytorch
Issue: Fix broken linalg unittests on ARM platform
Labels: module: tests,triaged,module: linear algebra,module: arm

### 🐛 Describe the bug

If test_linalg.py is run on Mac M1 4 tests are failing:
```
======================================================================
ERROR: test_vector_norm_cpu_bfloat16 (__main__.TestLinalgCPU)
----------------------------------------------------------------------
Traceback (most recent call last):
  File "/Users/nshulga/git/pytorch/pytorch/torch/testing/_internal/common_utils.py", line 2757, in wrapper
    method(*args, **kwargs)
  File "/Users/nshulga/git/pytorch/pytorch/torch/testing/_internal/common_device_type.py", line 432, in instantiated_test
    raise rte
  File "/Users/nshulga/git/pytorch/pytorch/torch/testing/_internal/common_device_type.py", line 419, in instantiated_test
    result = test(self, **param_kwargs)
  File "/Users/nshulga/git/pytorch/pytorch-tmp/test/test_linalg.py", line 1289, in test_vector_norm
    run_test_case(
  File "/Users/nshulga/git/pytorch/pytorch-tmp/test/test_linalg.py", line 1262, in run_test_case
    result_dtype_reference = vector_norm_reference(input, ord, dim=dim, keepdim=keepdim, dtype=norm_dtype)
  File "/Users/nshulga/git/pytorch/pytorch-tmp/test/test_linalg.py", line 1246, in vector_norm_reference
    result = torch.linalg.norm(input_maybe_flat, ord, dim=dim, keepdim=keepdim, dtype=dtype)
RuntimeError: Found dtype Float but expected BFloat16

To execute this test, run the following from the base repo dir:
     python test/test_linalg.py -k test_vector_norm_cpu_bfloat16

This message can be suppressed by setting PYTORCH_PRINT_REPRO_ON_FAILURE=0

======================================================================
ERROR: test_vector_norm_cpu_float16 (__main__.TestLinalgCPU)
----------------------------------------------------------------------
Traceback (most recent call last):
  File "/Users/nshulga/git/pytorch/pytorch/torch/testing/_internal/common_utils.py", line 2757, in wrapper
    method(*args, **kwargs)
  File "/Users/nshulga/git/pytorch/pytorch/torch/testing/_internal/common_device_type.py", line 432, in instantiated_test
    raise rte
  File "/Users/nshulga/git/pytorch/pytorch/torch/testing/_internal/common_device_type.py", line 419, in instantiated_test
    result = test(self, **param_kwargs)
  File "/Users/nshulga/git/pytorch/pytorch-tmp/test/test_linalg.py", line 1289, in test_vector_norm
    run_test_case(
  File "/Users/nshulga/git/pytorch/pytorch-tmp/test/test_linalg.py", line 1262, in run_test_case
    result_dtype_reference = vector_norm_reference(input, ord, dim=dim, keepdim=keepdim, dtype=norm_dtype)
  File "/Users/nshulga/git/pytorch/pytorch-tmp/test/test_linalg.py", line 1246, in vector_norm_reference
    result = torch.linalg.norm(input_maybe_flat, ord, dim=dim, keepdim=keepdim, dtype=dtype)
RuntimeError: Found dtype Float but expected Half

To execute this test, run the following from the base repo dir:
     python test/test_linalg.py -k test_vector_norm_cpu_float16

This message can be suppressed by setting PYTORCH_PRINT_REPRO_ON_FAILURE=0

======================================================================
ERROR: test_vector_norm_cpu_float32 (__main__.TestLinalgCPU)
----------------------------------------------------------------------
Traceback (most recent call last):
  File "/Users/nshulga/git/pytorch/pytorch/torch/testing/_internal/common_utils.py", line 2757, in wrapper
    method(*args, **kwargs)
  File "/Users/nshulga/git/pytorch/pytorch/torch/testing/_internal/common_device_type.py", line 432, in instantiated_test
    raise rte
  File "/Users/nshulga/git/pytorch/pytorch/torch/testing/_internal/common_device_type.py", line 419, in instantiated_test
    result = test(self, **param_kwargs)
  File "/Users/nshulga/git/pytorch/pytorch-tmp/test/test_linalg.py", line 1289, in test_vector_norm
    run_test_case(
  File "/Users/nshulga/git/pytorch/pytorch-tmp/test/test_linalg.py", line 1262, in run_test_case
    result_dtype_reference = vector_norm_reference(input, ord, dim=dim, keepdim=keepdim, dtype=norm_dtype)
  File "/Users/nshulga/git/pytorch/pytorch-tmp/test/test_linalg.py", line 1246, in vector_norm_reference
    result = torch.linalg.norm(input_maybe_flat, ord, dim=dim, keepdim=keepdim, dtype=dtype)
RuntimeError: Found dtype Double but expected Float

To execute this test, run the following from the base repo dir:
     python test/test_linalg.py -k test_vector_norm_cpu_float32

This message can be suppressed by setting PYTORCH_PRINT_REPRO_ON_FAILURE=0

======================================================================
FAIL: test_addmv_cpu_float16 (__main__.TestLinalgCPU)
----------------------------------------------------------------------
Traceback (most recent call last):
  File "/Users/nshulga/git/pytorch/pytorch/torch/testing/_internal/common_utils.py", line 2757, in wrapper
    method(*args, **kwargs)
  File "/Users/nshulga/git/pytorch/pytorch/torch/testing/_internal/common_device_type.py", line 419, in instantiated_test
    result = test(self, **param_kwargs)
  File "/Users/nshulga/git/pytorch/pytorch-tmp/test/test_linalg.py", line 5611, in test_addmv
    self._test_addmm_addmv(torch.addmv, t, m, v)
  File "/Users/nshulga/git/pytorch/pytorch-tmp/test/test_linalg.py", line 5576, in _test_addmm_addmv
    self.assertEqual(res1, res3)
  File "/Users/nshulga/git/pytorch/pytorch/torch/testing/_internal/common_utils.py", line 3640, in assertEqual
    raise error_metas.pop()[0].to_error(
AssertionError: Tensor-likes are not close!

Mismatched elements: 50 / 50 (100.0%)
Greatest absolute difference: 0.08056640625 at index (35,) (up to 0.001 allowed)
Greatest relative difference: 0.74755859375 at index (1,) (up to 0.001 allowed)

To execute this test, run the following from the base repo dir:
     python test/test_linalg.py -k test_addmv_cpu_float16

This message can be suppressed by setting PYTORCH_PRINT_REPRO_ON_FAILURE=0

----------------------------------------------------------------------
Ran 1032 tests in 44.906s

FAILED (failures=1, errors=3, skipped=83)
```

### Versions

CI

cc @mruberry @ZainRizvi @jianyuh @nikitaved @pearu @walterddr @xwang233 @Lezcano @snadampal