i1 : R = ZZ/101[x,y]; |
i2 : random(R^{1,2,3},R^{1,2,3}) o2 = {-1} | -27 0 0 | {-2} | 24x+43y -44 0 | {-3} | 48x2-13xy-45y2 -15x+19y -22 | 3 3 o2 : Matrix R <--- R |
i3 : random(ZZ^3,ZZ^6,MaximalRank=>true) o3 = | 35159051 187550 100273359 8026595 17158747 49526973 | | 4897558 26132 13967743 1118068 2390170 6898938 | | 34980259 186646 99763029 7985673 17071522 49274886 | 3 6 o3 : Matrix ZZ <--- ZZ |
i4 : random(ZZ^3,ZZ^10,Density=>.3) o4 = | 0 0 0 7 6 0 6 0 2 9 | | 0 0 0 0 0 0 0 0 0 9 | | 4 0 0 0 6 9 0 0 0 2 | 3 10 o4 : Matrix ZZ <--- ZZ |
i5 : random(ZZ^6,ZZ^6,UpperTriangular=>true) o5 = | 0 0 5 4 3 2 | | 0 0 4 6 5 9 | | 0 0 0 2 2 0 | | 0 0 0 0 2 0 | | 0 0 0 0 0 4 | | 0 0 0 0 0 0 | 6 6 o5 : Matrix ZZ <--- ZZ |