i1 : R = ZZ/101[x,y]; |
i2 : random(R^{1,2,3},R^{1,2,3}) o2 = {-1} | 11 0 0 | {-2} | -11x-18y -24 0 | {-3} | -16x2+19xy+16y2 -29x+40y 6 | 3 3 o2 : Matrix R <--- R |
i3 : random(ZZ^3,ZZ^6,MaximalRank=>true) o3 = | 28187616 737478 1036 3696403 6672353 75578 | | 194314367 5083883 7148 25481579 45996475 520980 | | 1920519 50247 70 251846 454621 5152 | 3 6 o3 : Matrix ZZ <--- ZZ |
i4 : random(ZZ^3,ZZ^10,Density=>.3) o4 = | 0 0 1 0 6 0 0 0 0 0 | | 0 0 0 0 0 0 2 1 9 0 | | 0 0 0 0 4 0 0 0 0 0 | 3 10 o4 : Matrix ZZ <--- ZZ |
i5 : random(ZZ^6,ZZ^6,UpperTriangular=>true) o5 = | 0 0 8 5 7 3 | | 0 0 6 9 1 6 | | 0 0 0 3 9 1 | | 0 0 0 0 1 9 | | 0 0 0 0 0 7 | | 0 0 0 0 0 0 | 6 6 o5 : Matrix ZZ <--- ZZ |