Use matlab only or skip

2. (20 points) The US Postal Service handles over 150,000,000,000 pieces of mail every year. With this sort of volume, it is impractical if not impossible for every destination address to be read and analyzed by a person. The natural solution? Computerized handwriting recognition software. In this problem, you will be writing a program which will automatically identify a series of five numbers, such as would be found in a zip code. It is necessary for our system to know what different numbers look like. This is done by normalizing and analyzing a set of test images. Each number is made approxi- mately the same size and stored in a 28x28 matrix, with each element corresponding to a grayscale value between 0 and 1 (0=black, 1=white). Then all the matrices associated with one number are analyzed to determine what an average handwritten number looks like. Fortunately, this has already been done so you can start with a set of reference numbers to compare with, which are shown here: I 234 5 6 7 8 9 0 a Note that these are a little fuzzy around the edges, as all handwritten numbers look a bit different. The goal is that one of these reference numbers is more similar to the number we are trying to identify than the others, and we will then assign the handwritten number the value of the most similar reference number. Start by downloading the file input.mat from Gauchospace. Contained in this file you will find an array of cells called digit_avg, which stores the reference numbers, and the series of numbers you are to decipher, sample. Accessing a reference numbers is as easy as calling the number you want with curly brackets. For example digit_avg{1} returns the reference matrix for the number one, digit_avg{2} returns the matrix for