i1 : R = ZZ/101[x,y]; |
i2 : random(R^{1,2,3},R^{1,2,3}) o2 = {-1} | 46 0 0 | {-2} | -4x-32y -16 0 | {-3} | 13x2-48xy+6y2 3x-2y 12 | 3 3 o2 : Matrix R <--- R |
i3 : random(ZZ^3,ZZ^6,MaximalRank=>true) o3 = | 274707616080 1591144264 423238820 6443175196 1109615730 | 704192910335 4078782111 1084941802 16516609034 2844418879 | 5460329713322 31626980089 8412666293 128070205971 22055696242 ------------------------------------------------------------------------ 54482082347 | 139660838957 | 1082933692671 | 3 6 o3 : Matrix ZZ <--- ZZ |
i4 : random(ZZ^3,ZZ^10,Density=>.3) o4 = | 0 0 0 0 0 0 0 0 5 0 | | 0 0 0 2 0 0 0 0 0 8 | | 3 7 0 0 0 8 0 0 0 7 | 3 10 o4 : Matrix ZZ <--- ZZ |
i5 : random(ZZ^6,ZZ^6,UpperTriangular=>true) o5 = | 0 4 8 9 2 2 | | 0 0 4 6 3 7 | | 0 0 0 4 2 5 | | 0 0 0 0 6 9 | | 0 0 0 0 0 4 | | 0 0 0 0 0 0 | 6 6 o5 : Matrix ZZ <--- ZZ |