i1 : R = ZZ/101[x,y]; |
i2 : random(R^{1,2,3},R^{1,2,3}) o2 = {-1} | -10 0 0 | {-2} | -36x-41y 22 0 | {-3} | 25x2+9xy-5y2 -35x-12y 8 | 3 3 o2 : Matrix R <--- R |
i3 : random(ZZ^3,ZZ^6,MaximalRank=>true) o3 = | 377538697 883747491 6123280 13127686 53715572 147057419 | | 42207667 98800515 684564 1467641 6005236 16440611 | | 3782317527 8853696170 61345207 131517802 538141788 1473273442 | 3 6 o3 : Matrix ZZ <--- ZZ |
i4 : random(ZZ^3,ZZ^10,Density=>.3) o4 = | 0 0 0 0 0 0 0 0 0 0 | | 6 0 0 4 0 0 0 0 0 8 | | 2 5 0 0 5 0 0 0 0 0 | 3 10 o4 : Matrix ZZ <--- ZZ |
i5 : random(ZZ^6,ZZ^6,UpperTriangular=>true) o5 = | 0 0 1 0 4 4 | | 0 0 3 6 6 0 | | 0 0 0 7 1 7 | | 0 0 0 0 4 1 | | 0 0 0 0 0 7 | | 0 0 0 0 0 0 | 6 6 o5 : Matrix ZZ <--- ZZ |