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A linear operation is not the same as a linear function. Your description describes a linear function, not operation. f(x) = x+1 is a linear function but a nonlinear operation (you can see it doesn’t satisfy the criteria.)
Linear operations are great because they can be represented as matrix multiplication and matrix multiplication is associative (and fast on computers).
“some jargon words that describe very abstract and arcane concepts that don’t map well to normal words which is what I initially thought your point was.”
Yep, that’s what I was getting at. Some jargon can’t just be replaced with non-jargon and retain its meaning. Sometimes people need to actually understand things. I like the idea of replacing pointless jargon (eg species names or medical terminology) but lots of jargon has a point.
Link to great linear algebra videos: https://youtu.be/fNk_zzaMoSs?si=-Fi9icfamkBW04xE