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Hyperplane arrangements, discrete geometry, convex polytopes, and optimization. For more general questions concerning matroids, use the matroid-theory tag.

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Enumerate all possible sign patterns spanned by matrix column space

Given a $m \times n$ matrix $A$ with $m>n$, I would like to enumerate all possible sign patterns $w$ generated by $Av$ for all $v \in \mathbb{R}^n$. More specifically, if $(Av)_i \geq 0$ then $w_i = …
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