i1 : R = ZZ/101[x,y]; |
i2 : random(R^{1,2,3},R^{1,2,3}) o2 = {-1} | -4 0 0 | {-2} | 9x+35y 27 0 | {-3} | -24x2-37xy+14y2 27x-39y -15 | 3 3 o2 : Matrix R <--- R |
i3 : random(ZZ^3,ZZ^6,MaximalRank=>true) o3 = | 490201943913372 17648762750137892 91961879086391 11836738502198817 | 14726602646557 530202540915602 2762710488507 355598231948024 | 81445061404338 2932270228103360 15279092590406 1966626012215566 ------------------------------------------------------------------------ 4412175917831663 1972737236078994 | 132550191518819 59264794361843 | 733065103099724 327762277000417 | 3 6 o3 : Matrix ZZ <--- ZZ |
i4 : random(ZZ^3,ZZ^10,Density=>.3) o4 = | 0 0 9 4 4 0 0 8 0 0 | | 0 9 0 0 3 0 0 3 0 0 | | 3 0 0 0 2 5 0 0 0 0 | 3 10 o4 : Matrix ZZ <--- ZZ |
i5 : random(ZZ^6,ZZ^6,UpperTriangular=>true) o5 = | 0 8 5 9 7 9 | | 0 0 5 8 3 3 | | 0 0 0 3 8 6 | | 0 0 0 0 9 8 | | 0 0 0 0 0 0 | | 0 0 0 0 0 0 | 6 6 o5 : Matrix ZZ <--- ZZ |