i1 : R = ZZ/101[x,y]; |
i2 : random(R^{1,2,3},R^{1,2,3}) o2 = {-1} | -29 0 0 | {-2} | 48x+8y 21 0 | {-3} | -11x2+24xy-49y2 x-13y 12 | 3 3 o2 : Matrix R <--- R |
i3 : random(ZZ^3,ZZ^6,MaximalRank=>true) o3 = | 75462947198 693573519177 1578177960 68790252085 84387863564 | 24882637389 228694200312 520377645 22682428343 27825478393 | 302585473075 2781037306197 6328055599 275829817629 338371910505 ------------------------------------------------------------------------ 412862485 | 136134468 | 1655463982 | 3 6 o3 : Matrix ZZ <--- ZZ |
i4 : random(ZZ^3,ZZ^10,Density=>.3) o4 = | 0 8 8 0 4 0 6 0 0 0 | | 0 0 0 0 9 0 8 0 0 1 | | 0 0 0 0 2 0 0 0 0 0 | 3 10 o4 : Matrix ZZ <--- ZZ |
i5 : random(ZZ^6,ZZ^6,UpperTriangular=>true) o5 = | 0 0 9 4 8 4 | | 0 0 6 2 1 0 | | 0 0 0 9 3 8 | | 0 0 0 0 8 0 | | 0 0 0 0 0 7 | | 0 0 0 0 0 0 | 6 6 o5 : Matrix ZZ <--- ZZ |