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Questions about the properties of vector spaces and linear transformations, including linear systems in general.
14
votes
Elementary $\mathrm{Ext}^1$ intuition
It seems like you already can see this, but $Ext^1(M,N)$ is measuring all the ways to form distinct short exact sequences $0\to N\to ?\to M\to 0$
If you are looking for intuition, what you should do i …
4
votes
Accepted
Matrices into path algebras
There's a slightly different equivalence that is also useful. Consider the quiver with n elements, and an arrow E_i from i to i+1 and another F_i from i+1 to i for all i. The relations are then that …