sylvester takes two polynomials as arguments.
sylvester returns the Sylvester matrix S of these polynomials.
If A(x)=∑i=0i=n aixi and
B(x)=∑i=0i=mbixi are 2 polynomials, their Sylvester matrix
S is a squared matrix of size m+n where m=degree(B(x)) and
n=degree(A(x)). The m first lines are made with the A(x)
coefficients, so that :
⎛ ⎜ ⎜ ⎜ ⎝ |
| ⎞ ⎟ ⎟ ⎟ ⎠ |
and the n further lines are made with the B(x) coefficients, so that :
⎛ ⎜ ⎜ ⎝ |
| ⎞ ⎟ ⎟ ⎠ |
Input :
^
3-p*x+q,3*x^
2-p,x)Output :
Input :
Output :
^
3--27*q^
2