i1 : R = QQ o1 = QQ o1 : Ring |
i2 : A = random(R^2, R^5) o2 = | 7/8 1/7 1/3 1/4 2/9 | | 5/3 1 1/3 7/10 3/10 | 2 5 o2 : Matrix QQ <--- QQ |
i3 : B = random(R^2, R^5) o3 = | 9/2 5/7 1/4 7/5 1/4 | | 2 5 1/5 10 3/4 | 2 5 o3 : Matrix QQ <--- QQ |
i4 : (A',B',P,Q) = kroneckerNormalForm(A,B) o4 = (| 0 1 0 0 0 |, | 0 0 1 0 0 |, | -1/766243 0 |, | -273252 | 0 0 0 1 0 | | 0 0 0 0 1 | | 0 -1/766243 | | -10501869 | -84215280 | -3354390 | 137923740 ------------------------------------------------------------------------ 140856 -209376 732 25740 |) 1016736 239708 -1212036 25865 | -2742960 513060 64080 -7740 | -481680 -88240 604590 -94550 | 0 0 0 0 | o4 : Sequence |
i5 : P*A*Q - A' == 0 o5 = true |
i6 : P*B*Q - B' == 0 o6 = true |