i1 : R = ZZ/101[x,y]; |
i2 : random(R^{1,2,3},R^{1,2,3}) o2 = {-1} | 27 0 0 | {-2} | -30x+42y -15 0 | {-3} | 27x2-50xy-3y2 44x+43y -30 | 3 3 o2 : Matrix R <--- R |
i3 : random(ZZ^3,ZZ^6,MaximalRank=>true) o3 = | 2637157919 17825174351 887702244367 269384662491 1013990886196 | 609006122 4116416472 204999517476 62209740008 234163700405 | 514753554 3479341067 173272856314 52581876652 197923457153 ------------------------------------------------------------------------ 10581457244 | 2443604986 | 2065421522 | 3 6 o3 : Matrix ZZ <--- ZZ |
i4 : random(ZZ^3,ZZ^10,Density=>.3) o4 = | 0 4 0 7 6 0 0 0 2 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 5 0 0 0 0 0 6 0 | 3 10 o4 : Matrix ZZ <--- ZZ |
i5 : random(ZZ^6,ZZ^6,UpperTriangular=>true) o5 = | 0 2 0 1 3 5 | | 0 0 9 1 2 6 | | 0 0 0 5 4 7 | | 0 0 0 0 7 7 | | 0 0 0 0 0 0 | | 0 0 0 0 0 0 | 6 6 o5 : Matrix ZZ <--- ZZ |