i1 : R = ZZ/101[x,y]; |
i2 : random(R^{1,2,3},R^{1,2,3}) o2 = {-1} | 47 0 0 | {-2} | -46x+30y 7 0 | {-3} | 9x2-15xy+6y2 43x-5y -7 | 3 3 o2 : Matrix R <--- R |
i3 : random(ZZ^3,ZZ^6,MaximalRank=>true) o3 = | 62782 7501549 127104 1249088 1782537 324697 | | 572159 68361604 1158338 11382735 16244781 2958999 | | 4767308 569598439 9651433 94842545 135353771 24654792 | 3 6 o3 : Matrix ZZ <--- ZZ |
i4 : random(ZZ^3,ZZ^10,Density=>.3) o4 = | 0 4 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 6 0 0 0 5 | | 0 0 0 0 0 0 0 0 0 8 | 3 10 o4 : Matrix ZZ <--- ZZ |
i5 : random(ZZ^6,ZZ^6,UpperTriangular=>true) o5 = | 0 2 0 4 5 3 | | 0 0 7 3 7 3 | | 0 0 0 1 5 7 | | 0 0 0 0 8 2 | | 0 0 0 0 0 5 | | 0 0 0 0 0 0 | 6 6 o5 : Matrix ZZ <--- ZZ |