# rank(Matroid) -- rank of a matroid

## Synopsis

• Function: rank
• Usage:
rank M
• Inputs:
• M,
• Outputs:

## Description

The rank of a matroid is the common size of a(ny) basis of M. This is a basic numerical invariant of a matroid.

 i1 : M = matroid({a,b,c,d},{{a,b},{a,c}}) o1 = a matroid of rank 2 on 4 elements o1 : Matroid i2 : rank M o2 = 2