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

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Union of linear inequalities cover whole space?

I found the solution for the problem. In summary, one has to check that the union of the polyhedra is convex. If their union is convex, the union is equal to their envelope. These problems can be s …
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Union of linear inequalities cover whole space?

We have $n$ variables $a_0,a_1,\ldots,a_n$ such that $a_i\geq a_{i+1}$. There are $k$ sets of linear inequality constraints on the $a_i$. I need to check that any choice of $a_i$ satisfies at least …