i1 : R = ZZ/101[x,y]; |
i2 : random(R^{1,2,3},R^{1,2,3}) o2 = {-1} | -26 0 0 | {-2} | -29x-42y 47 0 | {-3} | 9x2+11xy-22y2 -4x-2y -34 | 3 3 o2 : Matrix R <--- R |
i3 : random(ZZ^3,ZZ^6,MaximalRank=>true) o3 = | 475781289856 1923518 549339390083 23779764915332 1994670871310 | 402159806228 1625877 464335666973 20100129726682 1686019329005 | 65710116823 265657 75869220268 3284221476233 275483838412 ------------------------------------------------------------------------ 4742674908622 | 4008802494647 | 655010461421 | 3 6 o3 : Matrix ZZ <--- ZZ |
i4 : random(ZZ^3,ZZ^10,Density=>.3) o4 = | 0 0 0 0 8 7 0 0 0 0 | | 0 8 3 8 0 2 0 2 5 0 | | 0 0 8 0 0 0 0 1 2 0 | 3 10 o4 : Matrix ZZ <--- ZZ |
i5 : random(ZZ^6,ZZ^6,UpperTriangular=>true) o5 = | 0 2 2 4 3 7 | | 0 0 4 3 6 9 | | 0 0 0 3 0 0 | | 0 0 0 0 1 2 | | 0 0 0 0 0 8 | | 0 0 0 0 0 0 | 6 6 o5 : Matrix ZZ <--- ZZ |