-- -*- M2-comint -*- {* hash: -1472732542 *}

i1 : R = QQ[x,y,z];

i2 : f = matrix{{y^2-x*(x-1)*(x-13)}}

o2 = | -x3+14x2+y2-13x |

             1       1
o2 : Matrix R  <--- R

i3 : jacobian f

o3 = {1} | -3x2+28x-13 |
     {1} | 2y          |
     {1} | 0           |

             3       1
o3 : Matrix R  <--- R

i4 : R = ZZ[a,b,c][x,y,z]

o4 = R

o4 : PolynomialRing

i5 : jacobian matrix{{a*x+b*y^2+c*z^3, a*x*y+b*x*z}}

o5 = {1, 0} | a    ya+zb |
     {1, 0} | 2yb  xa    |
     {1, 0} | 3z2c xb    |

             3       2
o5 : Matrix R  <--- R

i6 :