Matrix

<text size="0.8em">Working with polynomials? See matrix (linear algebra) </text>

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 ${\mathrm{bold-italicx}}^{T}A\mathrm{bold-italicx}=0$, where $\mathrm{bold-italicx} = \left(\begin{array}{c}x\\ y\\ 1\end{array}\right)$

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.