i1 : R = ZZ/101[x,y]; |
i2 : random(R^{1,2,3},R^{1,2,3}) o2 = {-1} | -12 0 0 | {-2} | -20x-43y 37 0 | {-3} | -25x2+23xy+19y2 8x+19y 7 | 3 3 o2 : Matrix R <--- R |
i3 : random(ZZ^3,ZZ^6,MaximalRank=>true) o3 = | 21053138919 315703659 155735126 2534141178 1061727681 | 10384097149420 155715377030 76813661770 1249921366840 523678844959 | 53372100504409 800344664860 394806252014 6424335968131 2691600390778 ------------------------------------------------------------------------ 1116450281 | 550669822872 | 2830328405854 | 3 6 o3 : Matrix ZZ <--- ZZ |
i4 : random(ZZ^3,ZZ^10,Density=>.3) o4 = | 0 0 0 0 8 0 0 0 0 8 | | 0 0 0 0 0 0 0 0 0 0 | | 0 9 0 0 0 0 2 0 0 6 | 3 10 o4 : Matrix ZZ <--- ZZ |
i5 : random(ZZ^6,ZZ^6,UpperTriangular=>true) o5 = | 0 3 0 8 1 8 | | 0 0 8 3 8 0 | | 0 0 0 8 7 4 | | 0 0 0 0 4 2 | | 0 0 0 0 0 9 | | 0 0 0 0 0 0 | 6 6 o5 : Matrix ZZ <--- ZZ |