i1 : R = ZZ/101[x,y]; |
i2 : random(R^{1,2,3},R^{1,2,3}) o2 = {-1} | 7 0 0 | {-2} | -31x+35y 24 0 | {-3} | 36x2+14xy-16y2 -10x-45y 36 | 3 3 o2 : Matrix R <--- R |
i3 : random(ZZ^3,ZZ^6,MaximalRank=>true) o3 = | 2087 2434814 3446237484 8374275 119989680 857865701 | | 49625 57895951 81945973783 199126769 2853161227 20398663929 | | 317175 370038470 523752737586 1272706708 18235807501 130376827351 | 3 6 o3 : Matrix ZZ <--- ZZ |
i4 : random(ZZ^3,ZZ^10,Density=>.3) o4 = | 7 0 0 9 1 0 0 0 0 0 | | 0 9 5 0 0 0 0 3 0 0 | | 0 0 0 9 8 4 0 9 0 4 | 3 10 o4 : Matrix ZZ <--- ZZ |
i5 : random(ZZ^6,ZZ^6,UpperTriangular=>true) o5 = | 0 4 2 9 5 3 | | 0 0 5 9 4 2 | | 0 0 0 8 3 4 | | 0 0 0 0 9 0 | | 0 0 0 0 0 9 | | 0 0 0 0 0 0 | 6 6 o5 : Matrix ZZ <--- ZZ |