i1 : R = ZZ/101[x,y]; |
i2 : random(R^{1,2,3},R^{1,2,3}) o2 = {-1} | -49 0 0 | {-2} | -5x+30y 7 0 | {-3} | 13x2-14xy+25y2 -20x-30y 11 | 3 3 o2 : Matrix R <--- R |
i3 : random(ZZ^3,ZZ^6,MaximalRank=>true) o3 = | 13016467 20506892661 9000995938 2248068322 2060118801 | 68013644 107152630727 47032010525 11746608262 10764533735 | 546210205 860531165738 377708979891 94335738027 86448803943 ------------------------------------------------------------------------ 4500077398 | 23513807703 | 188836841583 | 3 6 o3 : Matrix ZZ <--- ZZ |
i4 : random(ZZ^3,ZZ^10,Density=>.3) o4 = | 1 0 0 0 0 0 0 0 0 0 | | 5 0 0 0 0 0 0 6 0 0 | | 0 0 0 0 0 2 0 0 0 0 | 3 10 o4 : Matrix ZZ <--- ZZ |
i5 : random(ZZ^6,ZZ^6,UpperTriangular=>true) o5 = | 0 5 1 0 2 6 | | 0 0 9 1 3 5 | | 0 0 0 3 1 6 | | 0 0 0 0 4 3 | | 0 0 0 0 0 1 | | 0 0 0 0 0 0 | 6 6 o5 : Matrix ZZ <--- ZZ |