i1 : R = ZZ/101[x,y]; |
i2 : random(R^{1,2,3},R^{1,2,3}) o2 = {-1} | 2 0 0 | {-2} | -8x-49y 31 0 | {-3} | -2x2+20xy-16y2 42x+28y -24 | 3 3 o2 : Matrix R <--- R |
i3 : random(ZZ^3,ZZ^6,MaximalRank=>true) o3 = | 56670755305 6685407 78219681 128457731 1164754880 9338739726 | 201382245324 23756969 277957840 456480689 4139012206 33185658636 | 1720471909072 202963137 2374680265 3899858244 35360884282 283515528680 ------------------------------------------------------------------------ | | | 3 6 o3 : Matrix ZZ <--- ZZ |
i4 : random(ZZ^3,ZZ^10,Density=>.3) o4 = | 0 0 0 3 1 0 0 0 0 0 | | 2 0 3 9 0 0 0 1 0 7 | | 0 0 0 0 0 0 0 0 0 8 | 3 10 o4 : Matrix ZZ <--- ZZ |
i5 : random(ZZ^6,ZZ^6,UpperTriangular=>true) o5 = | 0 8 1 9 2 9 | | 0 0 7 3 9 6 | | 0 0 0 9 0 9 | | 0 0 0 0 6 6 | | 0 0 0 0 0 4 | | 0 0 0 0 0 0 | 6 6 o5 : Matrix ZZ <--- ZZ |