用Matlab求解一组点的圆锥方程

Question

let's say I have 6 points (x,y)and the general equation for a conic section Ax^2+Bxy+Cy^2+Dx+Ey+F=0. is there a way I can find A,B,C,D,E,F?

I know that for a linear equation I can solve this with a matrix but it won't seem to work since all of the equation are equal to 0 any help on this topic would be appreciated

Answer 1

Maybe this (x and y are column vectors):

M=[x.^2, x.*y, y.^2, x, y, x*0+1];
[U,S,V]=svd(M)
Sol=V(:,end) %A,B,C,D,E,F