i1 : R = ZZ/101[x,y]; |
i2 : random(R^{1,2,3},R^{1,2,3}) o2 = {-1} | -20 0 0 | {-2} | -49x-36y 43 0 | {-3} | 42x2+20xy-45y2 -47x+39y -47 | 3 3 o2 : Matrix R <--- R |
i3 : random(ZZ^3,ZZ^6,MaximalRank=>true) o3 = | 29609413654 1230873967 245004465 158991493 9869615405 48693947 | 323197573236 13435439249 2674313232 1735450242 107730459809 531512220 | 9434239883 392184738 78064044 50658341 3144686361 15515009 ------------------------------------------------------------------------ | | | 3 6 o3 : Matrix ZZ <--- ZZ |
i4 : random(ZZ^3,ZZ^10,Density=>.3) o4 = | 0 0 0 0 0 0 0 0 6 8 | | 0 0 0 0 8 9 9 0 0 1 | | 0 0 0 0 0 0 2 0 0 4 | 3 10 o4 : Matrix ZZ <--- ZZ |
i5 : random(ZZ^6,ZZ^6,UpperTriangular=>true) o5 = | 0 6 0 6 6 6 | | 0 0 8 0 2 7 | | 0 0 0 1 2 6 | | 0 0 0 0 0 8 | | 0 0 0 0 0 0 | | 0 0 0 0 0 0 | 6 6 o5 : Matrix ZZ <--- ZZ |