i1 : R = ZZ/101[x,y]; |
i2 : random(R^{1,2,3},R^{1,2,3}) o2 = {-1} | 21 0 0 | {-2} | 37x-3y -14 0 | {-3} | 33x2-33xy-4y2 -25x-13y 6 | 3 3 o2 : Matrix R <--- R |
i3 : random(ZZ^3,ZZ^6,MaximalRank=>true) o3 = | 32142829 85992720 61840721 4014543 322096819 28634793 | | 43308677 115865055 83323085 5409124 433987534 38582009 | | 346982911 928294207 667572610 43337126 3477045902 309113524 | 3 6 o3 : Matrix ZZ <--- ZZ |
i4 : random(ZZ^3,ZZ^10,Density=>.3) o4 = | 0 9 0 0 0 0 3 5 6 9 | | 2 3 0 0 0 2 0 0 0 0 | | 0 0 7 0 0 0 0 8 0 0 | 3 10 o4 : Matrix ZZ <--- ZZ |
i5 : random(ZZ^6,ZZ^6,UpperTriangular=>true) o5 = | 0 1 7 3 9 1 | | 0 0 0 6 2 1 | | 0 0 0 4 3 8 | | 0 0 0 0 6 5 | | 0 0 0 0 0 0 | | 0 0 0 0 0 0 | 6 6 o5 : Matrix ZZ <--- ZZ |