i1 : R = ZZ/101[x,y]; |
i2 : random(R^{1,2,3},R^{1,2,3}) o2 = {-1} | 13 0 0 | {-2} | -14x+37y 30 0 | {-3} | -35x2-19xy-33y2 x+30y 2 | 3 3 o2 : Matrix R <--- R |
i3 : random(ZZ^3,ZZ^6,MaximalRank=>true) o3 = | 8877984074 9450313677 6820199200 490543164404 150139209 | 61657744706 65632583209 47366395078 3406830307932 1042719278 | 9002128113 9582460817 6915568495 497402606129 152238663 ------------------------------------------------------------------------ 61133143819 | 424570684685 | 61987990583 | 3 6 o3 : Matrix ZZ <--- ZZ |
i4 : random(ZZ^3,ZZ^10,Density=>.3) o4 = | 3 3 0 0 0 9 8 0 4 0 | | 0 8 6 0 0 8 3 6 0 0 | | 8 0 9 9 0 0 6 0 0 1 | 3 10 o4 : Matrix ZZ <--- ZZ |
i5 : random(ZZ^6,ZZ^6,UpperTriangular=>true) o5 = | 0 9 2 4 1 9 | | 0 0 9 6 9 9 | | 0 0 0 0 8 9 | | 0 0 0 0 9 5 | | 0 0 0 0 0 6 | | 0 0 0 0 0 0 | 6 6 o5 : Matrix ZZ <--- ZZ |