Problem 486. Surface Fit z(x,y)

Given three vectors x,y,z. Find four coefficients c = [cxx cxy cyy c00], such that z = cxx*x.^2+cxy*x.*y+cyy*y.^2+c00.

For example,

 x = [ 0  0  1  1  2  2  3  3]
 y = [ 0  1  0  1  0  1  0  1]
 z = [-4 -1 -3 -2  0 -1  5  2]

then

 z = x.^2-2*x.*y+3*y.^2-4

and

 c = [cxx cxy cyy c00] = [1 -2 3 -4]
Solve

Solution Stats

40.0% Correct | 60.0% Incorrect
Last Solution submitted on Dec 07, 2025

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