write a MATLAB script for this problem

Write a function to "smooth" a black-and-white image by replacing each pixel by the average of itself and its neighbors. In MATLAB a black-and-white image is just a matrix of 1s and Os - 1 represents white, and 0 represents black. To keep the algorithm simple, ignore the edges of the image - that is, do not change the first and last rows and columns. function name = smooth_image() input argument = input matrix output argument = output matrix The algorithm can be described as follows: . Given an NxM input matrix Make a copy of the matrix - this will be the output matrix loop over rows 2 to N-1 of the input matrix loop over columns 2 to M-1 of the input matrix take the average of the 3x3 submatrix centered on the current row & column set the corresponding element of the output matrix equal to this average