i1 : R = ZZ/101[x,y]; |
i2 : random(R^{1,2,3},R^{1,2,3}) o2 = {-1} | 19 0 0 | {-2} | 49x+44y 31 0 | {-3} | -35x2+28xy+49y2 -12x-34y -50 | 3 3 o2 : Matrix R <--- R |
i3 : random(ZZ^3,ZZ^6,MaximalRank=>true) o3 = | 15130903 31238338899 53040338 3438389 4376930415 4822140 | | 42203 87130173 147940 9590 12208162 13450 | | 2112278 4360880247 7404445 480000 611020626 673172 | 3 6 o3 : Matrix ZZ <--- ZZ |
i4 : random(ZZ^3,ZZ^10,Density=>.3) o4 = | 0 6 0 3 0 0 0 0 7 0 | | 5 4 0 0 0 0 0 0 0 0 | | 0 2 0 0 0 0 0 0 0 0 | 3 10 o4 : Matrix ZZ <--- ZZ |
i5 : random(ZZ^6,ZZ^6,UpperTriangular=>true) o5 = | 0 2 1 6 2 2 | | 0 0 5 6 3 2 | | 0 0 0 4 6 9 | | 0 0 0 0 3 5 | | 0 0 0 0 0 9 | | 0 0 0 0 0 0 | 6 6 o5 : Matrix ZZ <--- ZZ |