rank -- compute the rank

Usage:

rank M
Inputs:
- M, a module, or a matrix
Outputs:
- the rank of M

Description

i1 : R = ZZ/101[x,y,z]

o1 = R

o1 : PolynomialRing

i2 : p = vars R;

             1      3
o2 : Matrix R  <-- R

i3 : rank kernel p

o3 = 2

i4 : rank cokernel p

o4 = 0

i5 : C = res cokernel p

      1      3      3      1
o5 = R  <-- R  <-- R  <-- R  <-- 0
                                  
     0      1      2      3      4

o5 : ChainComplex

i6 : rank C

o6 = 0

Ways to use rank:

rank(Matrix)
rank(Module)
rank(MutableMatrix)

For the programmer

The object rank is a method function.

The source of this document is in Macaulay2Doc/functions/rank-doc.m2:29:0.