i1 : R = ZZ/101[x,y]; |
i2 : random(R^{1,2,3},R^{1,2,3}) o2 = {-1} | -26 0 0 | {-2} | 23x-22y -7 0 | {-3} | -8x2+48xy-28y2 -45x-42y 16 | 3 3 o2 : Matrix R <--- R |
i3 : random(ZZ^3,ZZ^6,MaximalRank=>true) o3 = | 121558831 2132694 836962956 228702716 230186315 697318491 | | 54650310 958814 376281867 102820072 103487121 313500149 | | 14816061 259941 102012289 27875173 28056000 84991879 | 3 6 o3 : Matrix ZZ <--- ZZ |
i4 : random(ZZ^3,ZZ^10,Density=>.3) o4 = | 4 0 0 6 0 5 6 0 0 4 | | 0 0 0 9 0 3 0 0 0 1 | | 0 8 5 0 0 0 0 0 0 0 | 3 10 o4 : Matrix ZZ <--- ZZ |
i5 : random(ZZ^6,ZZ^6,UpperTriangular=>true) o5 = | 0 1 6 6 4 2 | | 0 0 0 1 5 5 | | 0 0 0 3 2 0 | | 0 0 0 0 6 8 | | 0 0 0 0 0 3 | | 0 0 0 0 0 0 | 6 6 o5 : Matrix ZZ <--- ZZ |