i1 : R = ZZ/101[x,y]; |
i2 : random(R^{1,2,3},R^{1,2,3}) o2 = {-1} | 45 0 0 | {-2} | -2x-39y 28 0 | {-3} | -48x2-19xy-10y2 -22x+43y 31 | 3 3 o2 : Matrix R <--- R |
i3 : random(ZZ^3,ZZ^6,MaximalRank=>true) o3 = | 121385424 289435789 2115976731 1195379747 15196717481 1711167434 | 1253218880 2988220318 21845966846 12341452520 156895386195 17666596485 | 3214825 7665517 56040233 31658848 402474973 45319144 ------------------------------------------------------------------------ | | | 3 6 o3 : Matrix ZZ <--- ZZ |
i4 : random(ZZ^3,ZZ^10,Density=>.3) o4 = | 4 5 7 0 0 0 0 1 7 0 | | 0 0 0 0 0 0 0 4 1 0 | | 0 0 8 0 0 0 0 5 4 0 | 3 10 o4 : Matrix ZZ <--- ZZ |
i5 : random(ZZ^6,ZZ^6,UpperTriangular=>true) o5 = | 0 1 1 4 5 5 | | 0 0 1 1 9 5 | | 0 0 0 1 6 1 | | 0 0 0 0 4 0 | | 0 0 0 0 0 7 | | 0 0 0 0 0 0 | 6 6 o5 : Matrix ZZ <--- ZZ |