i1 : R = ZZ/101[x,y]; |
i2 : random(R^{1,2,3},R^{1,2,3}) o2 = {-1} | -6 0 0 | {-2} | 11x-31y 42 0 | {-3} | -32x2-5xy+41y2 31x+14y -1 | 3 3 o2 : Matrix R <--- R |
i3 : random(ZZ^3,ZZ^6,MaximalRank=>true) o3 = | 3455790627 3560647429 648127310 22209071949 17908941594 241347 | | 949988836 978813582 178168705 6105221548 4923125819 66347 | | 418983217 431696167 78579547 2692648292 2171296539 29261 | 3 6 o3 : Matrix ZZ <--- ZZ |
i4 : random(ZZ^3,ZZ^10,Density=>.3) o4 = | 0 0 0 4 0 8 0 0 5 0 | | 0 0 0 0 0 0 2 1 0 2 | | 0 8 0 0 0 0 0 0 0 8 | 3 10 o4 : Matrix ZZ <--- ZZ |
i5 : random(ZZ^6,ZZ^6,UpperTriangular=>true) o5 = | 0 5 0 5 5 0 | | 0 0 4 8 4 7 | | 0 0 0 4 4 3 | | 0 0 0 0 0 2 | | 0 0 0 0 0 1 | | 0 0 0 0 0 0 | 6 6 o5 : Matrix ZZ <--- ZZ |