$7.(14$p$)($Image Smoothing by Averaging Filter$)$ Write your own Matlab function$($with a double for loop$)$ to make a $7$x$7$ pixel averaging filter $($No padding, DO NOT USE imfilter, conv$2$ etc. functions$).$ Apply the filter to the noised images that you obtained in Part $6.$ Display and report the resultant images side by side in the same figure window and compare with the initial noisy images. Is there any difference in the sizes of the original and filtered images, why?