i1 : R = ZZ/101[x,y]; |
i2 : random(R^{1,2,3},R^{1,2,3}) o2 = {-1} | -21 0 0 | {-2} | 38x+9y 42 0 | {-3} | -4x2+20xy-24y2 -44x+13y 24 | 3 3 o2 : Matrix R <--- R |
i3 : random(ZZ^3,ZZ^6,MaximalRank=>true) o3 = | 40928540 907344766 499573195940 13292283796 3655966071 95443725397 | | 2542169 56357382 31029700981 825615936 227080910 5928240909 | | 5759554 127683546 70301036120 1870519337 514475566 13431050427 | 3 6 o3 : Matrix ZZ <--- ZZ |
i4 : random(ZZ^3,ZZ^10,Density=>.3) o4 = | 0 0 0 0 0 0 0 0 0 0 | | 3 3 0 0 8 0 0 0 0 0 | | 0 0 0 0 4 0 0 0 0 4 | 3 10 o4 : Matrix ZZ <--- ZZ |
i5 : random(ZZ^6,ZZ^6,UpperTriangular=>true) o5 = | 0 8 0 4 7 0 | | 0 0 1 5 2 2 | | 0 0 0 0 1 7 | | 0 0 0 0 8 1 | | 0 0 0 0 0 1 | | 0 0 0 0 0 0 | 6 6 o5 : Matrix ZZ <--- ZZ |