Algebraic matroid

An **algebraic matroid** is a combinatorial structure that captures certain linear algebraic properties of a set of vectors, particularly in the context of vector spaces over a field. An algebraic matroid can be viewed as a generalization of the concept of a matroid, which typically deals with independence in sets. ### Definition Given a vector space \( V \) over a field \( F \), the algebraic matroid can be defined using the notion of linear independence.