…de (#37204)

### Rationale for this change

Now that `featherread` and `featherwrite` have been re-implemented in terms of the new MATLAB Interface APIs (#37163 and #37047), we can remove the unused feather V1 MEX infrastructure and code. 

### What changes are included in this PR?

1. Deleted the following source and header files that are specific to the feather V1 MEX implementation: 
    - `arrow/matlab/src/cpp/arrow/matlab/feather/feather_functions.[cc][h]`
    - `arrow/matlab/src/cpp/arrow/matlab/feather/feather_reader.[cc][h]`
    - `arrow/matlab/src/cpp/arrow/matlab/feather/feather_writer.[cc][h]`
    - `arrow/matlab/src/cpp/arrow/matlab/feather/matlab_traits.h`
    - `arrow/matlab/src/cpp/arrow/matlab/feather/util/handle_status.[cc][h]`
    - `arrow/matlab/src/cpp/arrow/matlab/feather/util/unicode_conversion.[cc][h]`
    - `arrow/matlab/src/cpp/arrow/matlab/mex/call.cc`
    - `arrow/matlab/src/cpp/arrow/matlab/mex/mex_functions.h`
    - `arrow/matlab/src/cpp/arrow/matlab/mex/mex_util.[cc][h]`
    - `arrow/matlab/src/cpp/arrow/matlab/mex/mex_util_test.cc`
    - `arrow/matlab/src/cpp/arrow/matlab/api/visibility.h`

2. Deleted the following feather V1 MEX-specific build infrastructure files: 
    - `arrow/matlab/build_support/common_vars.m`
    - `arrow/matlab/build_support/compile.m`
    - `arrow/matlab/build_support/test.m`

3. Removed all feather V1 MEX-specific logic from the `arrow/matlab/CMakeLists.txt` file.

### Are these changes tested?

No tests are needed. The old feather V1 MEX specific implementation is unused code.

### Are there any user-facing changes?

No.

### Future Directions

1. Review the back-log of stale tasks/issues that are no longer actionable and close them. For example, #27758 has already been implemented and submitted with a different issue attached. 
* Closes: #37203

Lead-authored-by: Sarah Gilmore <[email protected]>
Co-authored-by: Kevin Gurney <[email protected]>
Signed-off-by: Kevin Gurney <[email protected]>

…ernal.io.feather.Writer (apache#37047)

### Rationale for this change

Now that apache#37043 is merged, we can re-implement `featherwrite` in terms of the new `arrow.internal.io.feather.Writer` class. Once this change is made, we can delete the legacy build infrastructure and featherwrite MEX code. 

### What changes are included in this PR?

1. Re-implemented `featherwrite` using `arrow.internal.io.feather.Writer`. 

### Are these changes tested?

1. Yes, the existing tests in `tfeather.m` cover these changes.
2. I had to update some of the expected error message IDs in `tfeather.m` because the new implementation throws errors with different IDs. 
3. `featherwrite` used to export the real part of MATLAB complex numeric arrays. The new version of `featherwrite` now errors if the input table contains complex data because feather/Arrow itself does not support complex numeric data. We think this is the right decision. Writing out only the real part is lossy.

### Are there any user-facing changes?

Yes, `featherwrite` no longer supports writing complex numeric arrays.

### Future Directions

1. Once this PR is merged, we will remove the legacy build infrastructure and MEX code. 
* Closes: apache#37045

Authored-by: Sarah Gilmore <[email protected]>
Signed-off-by: Kevin Gurney <[email protected]>

…and code (apache#37204)

### Rationale for this change

Now that `featherread` and `featherwrite` have been re-implemented in terms of the new MATLAB Interface APIs (apache#37163 and apache#37047), we can remove the unused feather V1 MEX infrastructure and code. 

### What changes are included in this PR?

1. Deleted the following source and header files that are specific to the feather V1 MEX implementation: 
    - `arrow/matlab/src/cpp/arrow/matlab/feather/feather_functions.[cc][h]`
    - `arrow/matlab/src/cpp/arrow/matlab/feather/feather_reader.[cc][h]`
    - `arrow/matlab/src/cpp/arrow/matlab/feather/feather_writer.[cc][h]`
    - `arrow/matlab/src/cpp/arrow/matlab/feather/matlab_traits.h`
    - `arrow/matlab/src/cpp/arrow/matlab/feather/util/handle_status.[cc][h]`
    - `arrow/matlab/src/cpp/arrow/matlab/feather/util/unicode_conversion.[cc][h]`
    - `arrow/matlab/src/cpp/arrow/matlab/mex/call.cc`
    - `arrow/matlab/src/cpp/arrow/matlab/mex/mex_functions.h`
    - `arrow/matlab/src/cpp/arrow/matlab/mex/mex_util.[cc][h]`
    - `arrow/matlab/src/cpp/arrow/matlab/mex/mex_util_test.cc`
    - `arrow/matlab/src/cpp/arrow/matlab/api/visibility.h`

2. Deleted the following feather V1 MEX-specific build infrastructure files: 
    - `arrow/matlab/build_support/common_vars.m`
    - `arrow/matlab/build_support/compile.m`
    - `arrow/matlab/build_support/test.m`

3. Removed all feather V1 MEX-specific logic from the `arrow/matlab/CMakeLists.txt` file.

### Are these changes tested?

No tests are needed. The old feather V1 MEX specific implementation is unused code.

### Are there any user-facing changes?

No.

### Future Directions

1. Review the back-log of stale tasks/issues that are no longer actionable and close them. For example, apache#27758 has already been implemented and submitted with a different issue attached. 
* Closes: apache#37203

Lead-authored-by: Sarah Gilmore <[email protected]>
Co-authored-by: Kevin Gurney <[email protected]>
Signed-off-by: Kevin Gurney <[email protected]>