i1 : R = ZZ/101[x,y]; |
i2 : random(R^{1,2,3},R^{1,2,3}) o2 = {-1} | 9 0 0 | {-2} | -22x-5y -32 0 | {-3} | 16x2+11xy-35y2 -46x-13y -2 | 3 3 o2 : Matrix R <--- R |
i3 : random(ZZ^3,ZZ^6,MaximalRank=>true) o3 = | 182118773 3646334 206420878 1460804116 802908326 55737 | | 2378559 47623 2694785 19078714 10483832 728 | | 25571106 511978 28982697 205109924 112734125 7826 | 3 6 o3 : Matrix ZZ <--- ZZ |
i4 : random(ZZ^3,ZZ^10,Density=>.3) o4 = | 0 0 0 1 0 6 0 0 7 0 | | 0 1 0 5 0 0 7 2 0 0 | | 0 0 0 9 0 0 4 7 2 0 | 3 10 o4 : Matrix ZZ <--- ZZ |
i5 : random(ZZ^6,ZZ^6,UpperTriangular=>true) o5 = | 0 0 6 4 6 5 | | 0 0 6 9 2 7 | | 0 0 0 7 1 8 | | 0 0 0 0 3 0 | | 0 0 0 0 0 0 | | 0 0 0 0 0 0 | 6 6 o5 : Matrix ZZ <--- ZZ |