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Ask HN: What if we add first then multiply in matrix multiplication?
Or even replace them with other binary operations?
What if the nature is not multiple=>add as our usually linear algebra, it is actually add=>multiply or subtract=>exponential?
Since subtraction is not commutative, this may explain some non commute behaviour of something.
- dave4420 4y agoHave you tried it? What kind of algebraic structure do you get?
- akasakahakada 4y agoI think end up I will be making a math engine to try every combinations of binary operation in this experiment, if I really want to do this. The more I think, the more this seems doable to me.
- gus_massa 4y agoThe idea is to check if the new operation has nice properties. For example if we call your new operation x, is it true that ((A x B) x C) = (A x (B) x C)) ??? Almost all useful operations have that property. Check with a few examples of matrices.
- Khelavaster 4y agoTry asking on a stack overflow math forum