{{{{{{NOTE: PLEASE READ CAREFULLY, THIS IS NOT A FUNCTION, IT IS A SCRIPT. }}}}}}

Write a Matlab program to implement the multidimensional version of Newtons method. For simplicity, let x = [ x y ] and the goal is to find an (approximate) solution to the equation. This SCRIPT should use the Jacobian MATLAB command.

f (x) = 0,

where f has two components and the symbol 0 in is actually 0 = [ 0 0 ].

For example, if f (x) = [ y² x² 3

x² + y 3 ],

then a solution of is x = [ 1 2 ]

Near the top of your program should be your function f (HARDCODED) , your initial guess x0 (HARDCODED), the maximum number of iterations N (HARDCODED), and the tolerance epsilon(HARDCODED). You may need to research vector norms and Matlabs associated norm command.