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  "body": "\n## Summary\n\nIn mathematics, the **free matroid** over a given ground-set $E$ is the matroid in which the independent sets are all subsets of $E$. It is a special case of a uniform matroid; specifically, when $E$ has cardinality $n$, it is the uniform matroid $U{}^{n}_{n}$. The unique basis of this matroid is the ground-set itself, $E$. Among matroids on $E$, the free matroid on $E$ has the most independent sets, the highest rank, and the fewest circuits.\n",
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