Matrix

Conic sections are the sets of points whose coordinates satisfy a second-degree polynomial equation $Q(x,y)=A{x}^2+Bxy+C{y}^2+Dx+Ey+F=0$. This quadratic equation can be written as ${\mathit{x}}^{T}A\mathit{x}=0$, where $\mathit{x}=\left(\begin{array}{c}x\\ y\\ 1\end{array}\right)$ and $A=\left(\begin{array}{ccc}A& B/2& D/2\\ B/2& C& E/2\\ D/2& E/2& F\end{array}\right)$

matrix(Conic)

Description

Given a conic, returns the conic matrix as described above.