Support StaticArrays Properly

[avik-pal]

Checklist

• Appropriate tests were added
• Any code changes were done in a way that does not break public API
• All documentation related to code changes were updated
• The new code follows the
  contributor guidelines, in particular the ScioML Style Guide and
  COLPRAC.
• Any new documentation only uses public API

Additional context

Add any other context about the problem here.

[codecov]

Codecov Report

Attention: 3 lines in your changes are missing coverage. Please review.

Comparison is base (9787717) 66.17% compared to head (21559ed) 66.35%.

Files	Patch %	Lines
src/factorization.jl	85.71%	3 Missing ⚠️

Additional details and impacted files

@@            Coverage Diff             @@
##             main     #436      +/-   ##
==========================================
+ Coverage   66.17%   66.35%   +0.18%     
==========================================
  Files          27       27              
  Lines        2019     2039      +20     
==========================================
+ Hits         1336     1353      +17     
- Misses        683      686       +3     

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[avik-pal]

@ChrisRackauckas this is ready

[avik-pal]

To summarize what this does:

1. changes the default for StaticArrays from GMRES to LU for square and SVD for non-square (QR(..) \ b is not defined so can't default to that)
2. In a bunch of places <fact>! was used, for SArray that is changed to fact.
3. For NormalCholesky the instance was being created for A, which should have been for Symmetric(A' * A) -- unfortunately A * A pre-1.10 doesn't pass JET opt tests, so testing only 1.10 and above for that.