i1 : R = ZZ/101[x,y]; |
i2 : random(R^{1,2,3},R^{1,2,3}) o2 = {-1} | 39 0 0 | {-2} | 4x+25y -23 0 | {-3} | -41x2+38xy-6y2 14x+3y -18 | 3 3 o2 : Matrix R <--- R |
i3 : random(ZZ^3,ZZ^6,MaximalRank=>true) o3 = | 2107431 1853702 32037384 11216590 80946512 122965 | | 4895379 4302732 74419623 26053937 188030819 285421 | | 419590 369052 6378648 2233218 16116464 24481 | 3 6 o3 : Matrix ZZ <--- ZZ |
i4 : random(ZZ^3,ZZ^10,Density=>.3) o4 = | 4 0 5 2 0 0 0 0 1 0 | | 0 1 0 0 0 0 0 3 0 0 | | 0 3 0 0 0 0 0 7 0 0 | 3 10 o4 : Matrix ZZ <--- ZZ |
i5 : random(ZZ^6,ZZ^6,UpperTriangular=>true) o5 = | 0 5 0 1 6 8 | | 0 0 6 1 5 5 | | 0 0 0 4 6 7 | | 0 0 0 0 7 2 | | 0 0 0 0 0 3 | | 0 0 0 0 0 0 | 6 6 o5 : Matrix ZZ <--- ZZ |