Support StaticArrays Properly

[avik-pal]

Checklist

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

Additional context

Add any other context about the problem here.

[codecov[bot]]

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 :warning:

Additional details and impacted files

```diff @@ 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.