-- -*- M2-comint -*- {* hash: 864540485 *}

i1 : R = ZZ/2[x,y];

i2 : f = random(R^3,R^{3:-1})

o2 = | x+y 0 0 |
     | y   y 0 |
     | 0   0 x |

             3       3
o2 : Matrix R  <--- R

i3 : exteriorPower_2 f

o3 = | xy+y2 0     0  |
     | 0     x2+xy 0  |
     | 0     xy    xy |

             3       3
o3 : Matrix R  <--- R

i4 : g = map(coker matrix {{x^2},{x*y},{y^2}}, R^3, id_(R^3))

o4 = | 1 0 0 |
     | 0 1 0 |
     | 0 0 1 |

o4 : Matrix

i5 : g2 = exteriorPower(2,g)

o5 = | 1 0 0 |
     | 0 1 0 |
     | 0 0 1 |

o5 : Matrix

i6 : target g2

o6 = cokernel | xy x2 0  |
              | y2 0  x2 |
              | 0  y2 xy |

                            3
o6 : R-module, quotient of R

i7 :