CMR  1.3.0
Representation of Matroids

The matroid represented by a matrix $$M \in \mathbb{F}^{m \times n}$$ has $$m + n$$ elements that correspond to the columns of $$[ \mathbb{I} \mid M ]$$. A subset of these columns is independent if and only if it is linearly independent over the field $$\mathbb{F}$$.