i1 : R = ZZ/101[x,y]; |
i2 : random(R^{1,2,3},R^{1,2,3}) o2 = {-1} | -41 0 0 | {-2} | 17x+41y -14 0 | {-3} | -11x2+47xy+20y2 13x-8y 21 | 3 3 o2 : Matrix R <--- R |
i3 : random(ZZ^3,ZZ^6,MaximalRank=>true) o3 = | 414690109429 25114667 2348586732 22768637562 328932538 45741168616 | | 39718044392 2405430 224942071 2180726596 31504365 4380981684 | | 1228602191929 74407277 6958156299 67456631614 974528059 135517338929 | 3 6 o3 : Matrix ZZ <--- ZZ |
i4 : random(ZZ^3,ZZ^10,Density=>.3) o4 = | 4 0 0 6 0 0 2 0 0 0 | | 0 0 8 0 0 0 8 0 6 0 | | 0 0 0 0 0 0 0 0 0 0 | 3 10 o4 : Matrix ZZ <--- ZZ |
i5 : random(ZZ^6,ZZ^6,UpperTriangular=>true) o5 = | 0 0 2 3 6 9 | | 0 0 6 8 3 8 | | 0 0 0 5 8 7 | | 0 0 0 0 2 3 | | 0 0 0 0 0 4 | | 0 0 0 0 0 0 | 6 6 o5 : Matrix ZZ <--- ZZ |