random(Module) -- get a random vector in the module

Synopsis

• Function: random

• Usage:

  v = random M

• Inputs:
  • M, a module,
• Optional inputs:
  • Density => ..., default value 1, get a random map of module
  • Height => ..., default value 10, get a random homogeneous element from a graded ring
  • MaximalRank => ..., default value false, get a random map of module
  • UpperTriangular => ..., default value false, get a random map of module
• Outputs:
  • v, a vector,

Description

i1 : R = ZZ/7[x,y]

o1 = R

o1 : PolynomialRing

i2 : E = End R^{-1,1}

      4
o2 = R

o2 : R-module, free, degrees {0, -2, 2, 0}

i3 : h = homomorphism random E

o3 = {1}  | 3      0 |
     {-1} | x2+3xy 0 |

             2      2
o3 : Matrix R  <-- R

See also

• Hom(Module,Module) -- module of homomorphisms
• random(Module,Module) -- get a random map of module
• setRandomSeed -- set starting point for random number generator