MATLAB: Getting this warning message: Function behaves unexpectedly on array inputs. To improve performance, properly vectorize your function to return an output with the same size and shape as the input arguments. How to fix this

close all

clear

clc

fprintf('Solutions:\n————-\n')

XO = [1,1,1]'; % Initial guess 1

X = fsolve(@system,XO)

XO = [1,10,1]'; % Initial guess 2

X = fsolve(@system, XO)

% Plotting

figure, fimplicit3(@(x,y,z) 2*x.^2 – 4*x + y^2 + 3*z.^2 + 6*z + 2) % First Equation

xlabel('x'), ylabel('y'),zlabel('z'), title('First Equation')

figure, fimplicit3(@(x,y,z) x.^2 + y.^2 – 2*y + 2*z.^2 – 5) % Second Equation

xlabel('x'), ylabel('y'), zlabel('z'), title ('Second Equation')

figure, fimplicit3(@(x,y,z) 3*x.^2 – 12*x + y.^2 + 3*z.^2 + 8) % Third Equation

xlabel('x'), ylabel('y'), zlabel('z'), title ('Third Equation')

function F = system(X)

% X = [x y z]

F = [2*X(1)^2 – 4*X(1) + X(2)^2 + 3*X(3)^2 + 6*X(3) + 2;

X(1)^2 + X(2)^2 – 2*X(2) + 2*X(3)^2 – 5;

3*X(1)^2 – 12*X(1) + X(2)^2 + 3*X(3)^2 + 8];

end