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Vectors Part 2
(mander.xyz)
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this post was submitted on 08 Sep 2024
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wow didn't expect this to be so general. How do integers not fit into the definition ? you can add them together and obtain another integer
When talking about vector space, you usually need the "scalar (field)", and scalars need inverse to be well-defined.
So for integers, the scalar should be integer itself. Sadly, inverse of integers stops being an integer, ~~from where all sorts of number theoretic nightmare occurs~~ Instead, integers form a ring, and is a module over scalar of integers.