i1 : R = ZZ/101[x,y]; |
i2 : random(R^{1,2,3},R^{1,2,3}) o2 = {-1} | -31 0 0 | {-2} | 50x+10y -36 0 | {-3} | -44x2-34xy-20y2 -32x+23y 8 | 3 3 o2 : Matrix R <--- R |
i3 : random(ZZ^3,ZZ^6,MaximalRank=>true) o3 = | 5907412955 2095872235 1455555617 1490349251 298983767 19190417 | | 12961963807 4598732300 3193758780 3270104113 656025761 42107360 | | 472246715 167546950 116359150 119140558 23901181 1534108 | 3 6 o3 : Matrix ZZ <--- ZZ |
i4 : random(ZZ^3,ZZ^10,Density=>.3) o4 = | 0 2 0 8 0 0 0 3 0 0 | | 4 1 0 0 0 0 0 0 0 5 | | 0 0 1 5 0 4 8 0 0 0 | 3 10 o4 : Matrix ZZ <--- ZZ |
i5 : random(ZZ^6,ZZ^6,UpperTriangular=>true) o5 = | 0 7 9 8 3 8 | | 0 0 5 1 5 4 | | 0 0 0 7 8 1 | | 0 0 0 0 5 4 | | 0 0 0 0 0 2 | | 0 0 0 0 0 0 | 6 6 o5 : Matrix ZZ <--- ZZ |