i1 : R = ZZ/101[x,y]; |
i2 : random(R^{1,2,3},R^{1,2,3}) o2 = {-1} | -18 0 0 | {-2} | 29x+39y -3 0 | {-3} | -23x2+36xy-46y2 x-y 24 | 3 3 o2 : Matrix R <--- R |
i3 : random(ZZ^3,ZZ^6,MaximalRank=>true) o3 = | 183145198666 5157641273 183567385471 36149710521 15324441742 | 8600348936 242198650 8620174995 1697561080 719623324 | 60688666382 1709083106 60828565517 11978898156 5078046971 ------------------------------------------------------------------------ 786325449829 | 36925201149 | 260563985200 | 3 6 o3 : Matrix ZZ <--- ZZ |
i4 : random(ZZ^3,ZZ^10,Density=>.3) o4 = | 5 0 5 0 0 0 0 0 1 3 | | 0 2 0 0 4 0 5 3 9 0 | | 0 0 0 7 0 0 9 0 0 0 | 3 10 o4 : Matrix ZZ <--- ZZ |
i5 : random(ZZ^6,ZZ^6,UpperTriangular=>true) o5 = | 0 9 9 7 1 4 | | 0 0 1 6 4 7 | | 0 0 0 5 5 6 | | 0 0 0 0 1 9 | | 0 0 0 0 0 3 | | 0 0 0 0 0 0 | 6 6 o5 : Matrix ZZ <--- ZZ |