i1 : R = ZZ/101[x,y]; |
i2 : random(R^{1,2,3},R^{1,2,3}) o2 = {-1} | -49 0 0 | {-2} | -25x+15y 2 0 | {-3} | 45x2-20xy-4y2 19x-17y -27 | 3 3 o2 : Matrix R <--- R |
i3 : random(ZZ^3,ZZ^6,MaximalRank=>true) o3 = | 14099546564 35145242 279311847 3994070 55666147 1692020584 | | 6571157006 16379598 130174541 1861454 25943502 788573793 | | 4042442750 10076397 80080742 1145129 15959886 485114632 | 3 6 o3 : Matrix ZZ <--- ZZ |
i4 : random(ZZ^3,ZZ^10,Density=>.3) o4 = | 0 0 9 0 0 2 0 0 6 7 | | 0 0 4 0 1 0 0 0 0 5 | | 4 1 0 0 0 8 4 2 5 0 | 3 10 o4 : Matrix ZZ <--- ZZ |
i5 : random(ZZ^6,ZZ^6,UpperTriangular=>true) o5 = | 0 3 3 7 9 7 | | 0 0 1 5 1 1 | | 0 0 0 1 4 3 | | 0 0 0 0 0 0 | | 0 0 0 0 0 0 | | 0 0 0 0 0 0 | 6 6 o5 : Matrix ZZ <--- ZZ |