i1 : R = ZZ/101[x,y]; |
i2 : random(R^{1,2,3},R^{1,2,3}) o2 = {-1} | 12 0 0 | {-2} | 30x+y 30 0 | {-3} | 46x2+9xy+5y2 44x+36y -32 | 3 3 o2 : Matrix R <--- R |
i3 : random(ZZ^3,ZZ^6,MaximalRank=>true) o3 = | 149259373 3196725553 10890459 1595711466 28771425832 2208401 | | 11120026 238160169 811355 118882559 2143508264 164528 | | 5878644 125904245 428926 62847700 1133173489 86978 | 3 6 o3 : Matrix ZZ <--- ZZ |
i4 : random(ZZ^3,ZZ^10,Density=>.3) o4 = | 0 0 0 0 0 4 0 0 4 0 | | 0 0 7 0 0 0 0 0 6 0 | | 2 0 0 3 7 1 0 3 0 7 | 3 10 o4 : Matrix ZZ <--- ZZ |
i5 : random(ZZ^6,ZZ^6,UpperTriangular=>true) o5 = | 0 7 0 1 4 8 | | 0 0 0 2 8 2 | | 0 0 0 6 1 2 | | 0 0 0 0 4 5 | | 0 0 0 0 0 3 | | 0 0 0 0 0 0 | 6 6 o5 : Matrix ZZ <--- ZZ |