Yes. Just in case this is homework, I will give an example to get you started.
Let's say you have the case below (I will start with the case where we do not have derivatives at a location).
We are trying to solve for A, B, and C
x1 = 0; y1 = 1;
x2 = 3; y2 = 6;
x3 = 7; y3 = 7;
So we can construct an inverse problem of the form G * m = d, where:
G = [x1^2,x1,1; x2^2,x2,1; x3^2,x3,1];
d = [y1; y2; y3];
We determine m (equal to [A; B; C] in our example) by:
And we get: