i1 : R = ZZ/101[x,y]; |
i2 : random(R^{1,2,3},R^{1,2,3}) o2 = {-1} | 26 0 0 | {-2} | -6x+34y 1 0 | {-3} | -12x2+43xy+43y2 -10x 13 | 3 3 o2 : Matrix R <--- R |
i3 : random(ZZ^3,ZZ^6,MaximalRank=>true) o3 = | 376995195115 15970238939676 621194074 1742244355912 15683927468928 | 89265144326 3781442580200 147086699 412529644512 3713649581563 | 46223568757 1958118955512 76164915 213617448764 1923014163394 ------------------------------------------------------------------------ 41681106886 | 9869277036 | 5110541288 | 3 6 o3 : Matrix ZZ <--- ZZ |
i4 : random(ZZ^3,ZZ^10,Density=>.3) o4 = | 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 7 0 0 0 0 | 3 10 o4 : Matrix ZZ <--- ZZ |
i5 : random(ZZ^6,ZZ^6,UpperTriangular=>true) o5 = | 0 9 9 5 9 4 | | 0 0 4 4 7 4 | | 0 0 0 8 6 8 | | 0 0 0 0 8 7 | | 0 0 0 0 0 6 | | 0 0 0 0 0 0 | 6 6 o5 : Matrix ZZ <--- ZZ |