i1 : R = ZZ/101[x,y]; |
i2 : random(R^{1,2,3},R^{1,2,3}) o2 = {-1} | 21 0 0 | {-2} | -10x+41y 18 0 | {-3} | -18x2-46xy-48y2 20x-9y 10 | 3 3 o2 : Matrix R <--- R |
i3 : random(ZZ^3,ZZ^6,MaximalRank=>true) o3 = | 18420067221738 96142961607 1748950465978 291429844198 3498648957507 | 169539527196 884906223 16097456733 2682339722 32201798342 | 2026215974282 10575770559 192385365902 32057418607 384853014963 ------------------------------------------------------------------------ 1754571411332 | 16149192285 | 193003672509 | 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 | | 0 0 0 7 0 0 0 0 0 0 | | 0 4 0 0 5 0 0 0 3 7 | 3 10 o4 : Matrix ZZ <--- ZZ |
i5 : random(ZZ^6,ZZ^6,UpperTriangular=>true) o5 = | 0 9 9 5 9 0 | | 0 0 1 8 6 8 | | 0 0 0 1 5 6 | | 0 0 0 0 7 3 | | 0 0 0 0 0 2 | | 0 0 0 0 0 0 | 6 6 o5 : Matrix ZZ <--- ZZ |