I am trying to solve a system of quadratic equations.
y1 = a*x1^2 + b*x1 + c
y2 = a*x2^2 + b*x2 + c
y3 = a*x3^2 + b*x3 + c
(x1, y1), (x2, y2), (x3, y3)
I need to solve for a,b,c.
Trying to use Gaussian Elimination does not seem to give any success.
Does anyone have any idea where to find a solution to this? I have checked out the web on solving for the three-point quadratic, but nothing shows the algorithm.