Matlab code

Consider the following system of nonlinear equations: F(x,y,z)=(yx)x(z)yxyz=0. Using the constant parameters =10,=8/3, and =28, use the vector Newton-Raphson method to find solutions of this system from the following initial guesses: (a) (x0,y0,z0)=(6.01,6.01,0). Store your solution in a vector called xyz_a and the number of iterations required in a scalar called nIters_a. (b) (x0,y0,z0)=(6.01,6.01,0). Store your solution in a vector called xyz_b and the number of iterations required in a scalar called nIters_b. For each case, terminate iterations when the magnitude of F is less than 1012