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