i1 : R = ZZ/101[x,y]; |
i2 : random(R^{1,2,3},R^{1,2,3}) o2 = {-1} | 50 0 0 | {-2} | -21x+4y 29 0 | {-3} | 21x2+32xy-18y2 40x-50y 20 | 3 3 o2 : Matrix R <--- R |
i3 : random(ZZ^3,ZZ^6,MaximalRank=>true) o3 = | 218727217 12640751 335540839 1686711 52801 33769199 | | 684861758 39563322 1050621603 5279110 165232 105736147 | | 500506270 28948583 767804119 3862734 120956 77272039 | 3 6 o3 : Matrix ZZ <--- ZZ |
i4 : random(ZZ^3,ZZ^10,Density=>.3) o4 = | 0 4 0 0 0 2 0 0 0 2 | | 0 2 1 0 0 0 0 0 7 0 | | 7 0 9 0 0 0 4 0 9 0 | 3 10 o4 : Matrix ZZ <--- ZZ |
i5 : random(ZZ^6,ZZ^6,UpperTriangular=>true) o5 = | 0 4 9 9 5 7 | | 0 0 0 0 3 7 | | 0 0 0 1 9 6 | | 0 0 0 0 5 7 | | 0 0 0 0 0 1 | | 0 0 0 0 0 0 | 6 6 o5 : Matrix ZZ <--- ZZ |