i1 : R = ZZ/101[x,y]; |
i2 : random(R^{1,2,3},R^{1,2,3}) o2 = {-1} | 7 0 0 | {-2} | 26y -25 0 | {-3} | -37x2-20xy-42y2 -23x+46y 50 | 3 3 o2 : Matrix R <--- R |
i3 : random(ZZ^3,ZZ^6,MaximalRank=>true) o3 = | 175767497 54030554 7964622093 228931336 1591789051 459467597 | 744050909 228721049 33715473291 969107568 6738288494 1945009150 | 4706840837 1446878670 213282941026 6130529062 42626184527 12304036574 ------------------------------------------------------------------------ | | | 3 6 o3 : Matrix ZZ <--- ZZ |
i4 : random(ZZ^3,ZZ^10,Density=>.3) o4 = | 0 0 2 2 0 0 4 0 0 0 | | 0 0 0 0 0 6 9 5 0 0 | | 8 0 2 0 6 2 0 3 0 0 | 3 10 o4 : Matrix ZZ <--- ZZ |
i5 : random(ZZ^6,ZZ^6,UpperTriangular=>true) o5 = | 0 1 6 1 2 3 | | 0 0 7 0 7 6 | | 0 0 0 2 3 0 | | 0 0 0 0 3 4 | | 0 0 0 0 0 9 | | 0 0 0 0 0 0 | 6 6 o5 : Matrix ZZ <--- ZZ |