i1 : R = ZZ/101[x,y]; |
i2 : random(R^{1,2,3},R^{1,2,3}) o2 = {-1} | -42 0 0 | {-2} | -41x-24y 47 0 | {-3} | 48xy-35y2 -28x-14y -16 | 3 3 o2 : Matrix R <--- R |
i3 : random(ZZ^3,ZZ^6,MaximalRank=>true) o3 = | 6624644332 1610382013 1108264382 129091671 1698478 837581 | | 43547386514 10585915929 7285223928 848589692 11165019 5505875 | | 94644113735 23006997886 15833408543 1844290216 24265594 11966243 | 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 0 7 5 0 2 0 0 0 0 | | 0 0 0 2 0 0 0 6 5 0 | 3 10 o4 : Matrix ZZ <--- ZZ |
i5 : random(ZZ^6,ZZ^6,UpperTriangular=>true) o5 = | 0 6 1 7 3 5 | | 0 0 3 8 1 7 | | 0 0 0 9 5 9 | | 0 0 0 0 4 7 | | 0 0 0 0 0 5 | | 0 0 0 0 0 0 | 6 6 o5 : Matrix ZZ <--- ZZ |