Question: Using the Newton's Method Write a MATLAB script to solve for the following nonlinear system of equations: x 2 + y 2 + z 2

Using the "Newton's Method"

Write a MATLAB script to solve for the following nonlinear system of equations:

x2 + y2 + z2 = 3

x2 + y2 - z = 1

x + y + z =3

using the initial guess (x,y,z) = (1,0,1), tolerance tol = 1e-7, and maximum number of iterations maxiter = 20.

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