Problem 4. Write a Matlab code for Newtons method to find a (nonzero) root of the system x x2y2 =0, yx2+y2 =0 starting with x0 = 0.5,y0 = 0.5. Use format long and stop when both components of two successive iterates agree to 14 decimal places. Display the approximations given and the size of the functions at each iteration. To solve the ensuing linear system, e.g. Ax = b, use the command x = A \ b;