i1 : R = ZZ/101[x,y]; |
i2 : random(R^{1,2,3},R^{1,2,3}) o2 = {-1} | 2 0 0 | {-2} | -4x-12y -15 0 | {-3} | -5x2-22xy-31y2 40x+10y -44 | 3 3 o2 : Matrix R <--- R |
i3 : random(ZZ^3,ZZ^6,MaximalRank=>true) o3 = | 71477128233 42685859 4540724 2909834496 5938737066 11823704323 | | 204206127965 121951095 12972593 8313233199 16966637176 33779657043 | | 94251542475 56286649 5987513 3836981093 7830968349 15591034471 | 3 6 o3 : Matrix ZZ <--- ZZ |
i4 : random(ZZ^3,ZZ^10,Density=>.3) o4 = | 0 2 0 0 2 0 0 0 0 0 | | 9 0 4 0 8 0 9 0 5 0 | | 2 7 0 0 0 0 0 0 0 0 | 3 10 o4 : Matrix ZZ <--- ZZ |
i5 : random(ZZ^6,ZZ^6,UpperTriangular=>true) o5 = | 0 8 9 8 6 0 | | 0 0 5 6 1 4 | | 0 0 0 4 2 7 | | 0 0 0 0 8 0 | | 0 0 0 0 0 0 | | 0 0 0 0 0 0 | 6 6 o5 : Matrix ZZ <--- ZZ |