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Using matrix calculation to find a general solution for a parabola that passes through points (x1,y1), (x2, y2), (x3, y3).

First I setted my equations

ax1^2+bx2+c=y1

ax2^2+bx2+c=y2

ax3^2+bx2+c=y3

But I've no idea on how I should set up the augmented matrix. I presume the general solution is referring to the solving the constants a, b and c.

Any hints and suggestions is appreciated.

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# General Solutions for three-point parabola

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