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Of course we have the term "reciprocal" that also means Multiplicative Inverse. The bigger issue to me is when math libraries implement inverse(vector) as additive and inverse(matrix) as multiplicative. No consistency.
Moreover, vec*vec is element-wise, but mat*mat is not. But mat+mat *is* element-wise. Not infuriating at all. Hot take: At least for computer science, all basic math operators should be element-wise. Anything else should be a function. Dot, cross, transform, etc.
vec*vec element-wise literally shows up in math no-where though. In CS it's purely an acceleration technique for SSE/shaders for the most part. Also, multiplicative and additive inverses are not the same thing. In traditional vector-spaces there is no group action on vectors.
Clarifying, nobody in the math world writes v^-1 to mean the additive inverse.
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