i1 : R = ZZ/101[x,y]; |
i2 : random(R^{1,2,3},R^{1,2,3}) o2 = {-1} | 43 0 0 | {-2} | -11x-46y -2 0 | {-3} | 12x2-28xy+24y2 16x+14y -7 | 3 3 o2 : Matrix R <--- R |
i3 : random(ZZ^3,ZZ^6,MaximalRank=>true) o3 = | 3681048 13660315 680687740 92567965 222319957 3852453677 | | 24841930 92188045 4593691571 624704449 1500349191 25998681801 | | 126893043 470898267 23464663061 3191002056 7663811904 132801756249 | 3 6 o3 : Matrix ZZ <--- ZZ |
i4 : random(ZZ^3,ZZ^10,Density=>.3) o4 = | 0 0 1 5 0 0 8 0 6 0 | | 0 3 0 0 6 0 4 0 0 8 | | 1 1 0 9 8 0 1 3 6 0 | 3 10 o4 : Matrix ZZ <--- ZZ |
i5 : random(ZZ^6,ZZ^6,UpperTriangular=>true) o5 = | 0 2 2 2 2 0 | | 0 0 5 3 0 1 | | 0 0 0 8 0 3 | | 0 0 0 0 4 4 | | 0 0 0 0 0 5 | | 0 0 0 0 0 0 | 6 6 o5 : Matrix ZZ <--- ZZ |