i1 : R = ZZ/101[x,y]; |
i2 : random(R^{1,2,3},R^{1,2,3}) o2 = {-1} | 42 0 0 | {-2} | -41x-y -9 0 | {-3} | -8x2+45xy+12y2 -44x-16y 32 | 3 3 o2 : Matrix R <--- R |
i3 : random(ZZ^3,ZZ^6,MaximalRank=>true) o3 = | 1872875 5592954 234100 300781 395186 475109 | | 16747530 50013022 2093357 2689112 3533953 4248262 | | 17144367 51198102 2142960 2753282 3617568 4349130 | 3 6 o3 : Matrix ZZ <--- ZZ |
i4 : random(ZZ^3,ZZ^10,Density=>.3) o4 = | 0 9 0 0 0 0 0 0 0 0 | | 0 0 7 0 0 0 0 0 0 4 | | 0 4 0 4 0 0 0 0 0 0 | 3 10 o4 : Matrix ZZ <--- ZZ |
i5 : random(ZZ^6,ZZ^6,UpperTriangular=>true) o5 = | 0 7 9 2 2 7 | | 0 0 6 3 5 1 | | 0 0 0 2 7 7 | | 0 0 0 0 0 5 | | 0 0 0 0 0 1 | | 0 0 0 0 0 0 | 6 6 o5 : Matrix ZZ <--- ZZ |