i1 : R = ZZ/101[x,y]; |
i2 : random(R^{1,2,3},R^{1,2,3}) o2 = {-1} | -1 0 0 | {-2} | 10x-48y -11 0 | {-3} | 22x2+14xy+27y2 -39x-35y 33 | 3 3 o2 : Matrix R <--- R |
i3 : random(ZZ^3,ZZ^6,MaximalRank=>true) o3 = | 20011902199 7993943124 2968845 219703210 4001766623 1998417493 | | 3248400202 1297604115 481911 35662974 649580404 324389944 | | 2848245654 1137758581 422552 31269827 569561767 284429926 | 3 6 o3 : Matrix ZZ <--- ZZ |
i4 : random(ZZ^3,ZZ^10,Density=>.3) o4 = | 0 0 0 0 0 0 9 0 4 0 | | 0 0 0 0 0 0 9 0 0 0 | | 0 7 0 9 6 0 0 0 0 0 | 3 10 o4 : Matrix ZZ <--- ZZ |
i5 : random(ZZ^6,ZZ^6,UpperTriangular=>true) o5 = | 0 2 0 7 2 9 | | 0 0 4 7 7 4 | | 0 0 0 7 8 2 | | 0 0 0 0 1 0 | | 0 0 0 0 0 7 | | 0 0 0 0 0 0 | 6 6 o5 : Matrix ZZ <--- ZZ |