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Sylvester

the Sylvester matrix of two polynomials
Syntax 

Sylvester(F:POLY, G:POLY, X:INDET)

Description
This function returns the Sylvester matrix of the polynomials F and G with respect to the indeterminate X. This is the matrix used to calculate the resultant.

Example 
  Use R ::= QQ[p,q,x];
  F := x^3+px-q; G := Der(F,x);
  Sylvester(F, G,x);
Mat([
  [1, 0, p, -q, 0],
  [0, 1, 0, p, -q],
  [3, 0, p, 0, 0],
  [0, 3, 0, p, 0],
  [0, 0, 3, 0, p]
])
-------------------------------
  Det(Sylvester(F, G,x)) = Resultant(F, G,x);
TRUE
-------------------------------


See Also