i1 : R = ZZ/101[x,y]; |
i2 : random(R^{1,2,3},R^{1,2,3}) o2 = {-1} | -26 0 0 | {-2} | -29x-42y 47 0 | {-3} | 9x2+11xy-22y2 -4x-2y -34 | 3 3 o2 : Matrix R <--- R |
i3 : random(ZZ^3,ZZ^6,MaximalRank=>true) o3 = | 23 12813 78863 898 9710 703 | | 20 14631 86008 1091 10589 737 | | 151 88460 538558 6288 66309 4765 | 3 6 o3 : Matrix ZZ <--- ZZ |
i4 : random(ZZ^3,ZZ^10,Density=>.3) o4 = | 4 0 0 0 8 6 0 0 8 0 | | 0 6 1 0 0 3 0 7 3 0 | | 0 0 0 0 0 0 0 9 8 0 | 3 10 o4 : Matrix ZZ <--- ZZ |
i5 : random(ZZ^6,ZZ^6,UpperTriangular=>true) o5 = | 0 6 5 0 3 3 | | 0 0 8 9 6 6 | | 0 0 0 3 5 3 | | 0 0 0 0 6 7 | | 0 0 0 0 0 4 | | 0 0 0 0 0 0 | 6 6 o5 : Matrix ZZ <--- ZZ |