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Questions about the properties of vector spaces and linear transformations, including linear systems in general.

5 votes
2 answers
286 views

On the “Non-conservation of parity in weak interactions”

Kostrikin and Manin, in their Linear Algebra and Geometry, state that: (The excerpt is on pp. 42-43.) The statement comes after a proof of general linear group over reals having two connected compon …
Alp Uzman's user avatar
  • 258
3 votes

Linear algebra in terms of abstract nonsense?

Here is an example (more along the lines of "linear algebra ~ $K$-theory of a point"): The categorical characterization of dimension: Let $\chi: \operatorname{Obj}(\operatorname{fVct}_{\mathbb{K}})\to …
Alp Uzman's user avatar
  • 258