i1 : R = ZZ/101[x,y]; |
i2 : random(R^{1,2,3},R^{1,2,3}) o2 = {-1} | -29 0 0 | {-2} | 25x+32y 46 0 | {-3} | 24x2-27xy+y2 14x-24y 14 | 3 3 o2 : Matrix R <--- R |
i3 : random(ZZ^3,ZZ^6,MaximalRank=>true) o3 = | 20 14030 12667 1 1736 4 | | 161 111874 101298 3 13843 37 | | 1794 1247806 1129519 39 154400 407 | 3 6 o3 : Matrix ZZ <--- ZZ |
i4 : random(ZZ^3,ZZ^10,Density=>.3) o4 = | 0 0 0 0 0 0 0 0 0 0 | | 0 6 0 0 4 0 0 4 0 0 | | 0 0 0 0 0 0 4 6 5 0 | 3 10 o4 : Matrix ZZ <--- ZZ |
i5 : random(ZZ^6,ZZ^6,UpperTriangular=>true) o5 = | 0 6 5 3 9 4 | | 0 0 3 8 4 3 | | 0 0 0 2 4 1 | | 0 0 0 0 5 2 | | 0 0 0 0 0 8 | | 0 0 0 0 0 0 | 6 6 o5 : Matrix ZZ <--- ZZ |