Would it make sense to implement linear algebra for complex matrices?

[jishnub]

Currently, one needs to split matrix multiplication into products over the components to avoid hitting generic fallback functions. Would it make sense to implement various matrix-multiplication methods for StructArray{<:Complex} types in this package as a convenience?

I realize that this risks becoming a minefield of ambiguities, so it'll require significant effort to disambiguate with all the structured matrix types defined in Base. It'll also mean that we'll have to add LinearAlgebra as a direct dependency.