solve it by using matlab and explain how this application would be related to industrial engineering

PART 2b ( 30+10 points) - Protein structure similarity metrics (30 points) Let A,B and C be matrix representations of three proteins' structures by the coordinates of the atoms in 2D projection. Each row gives the x and y coordinates of the atoms. These matrices are given as A=[00;13;56;13],B=[00;31;65;31],C=[00;20;56;10]. Your task is comparing these three structures (shapes) to determine their similarity level. Although there are multiple advanced similarity measures for this task, in this project you are supposed to use a very basic similarity function designed as the distance function. For that purpose, you set your similarity function between any two matrices X and Y as iXiYi=ij(X(i,j)Y(i,j))2 where Xi represents the ith row of matrix X. So, basically you are getting the summation of distances between each atoms of the structures. Hence, the smaller the distance is, more similarity you will obtain between matrices. For example if you get 0 as the result, that means you are dealing with the exactly same matrices. Please calculate the similarity by using the formula for each couples as X-Y, Y-Z and X-Z. Give the similarity results. How do you interpret that similarity results? Do you think the similarity values are acceptable? For that please scatter the data points on coordinate space to visualize the structures. Is there any leak of this similarity measure method? How can you improve it? (Please answer questions only for the given task.) You may use the built-in matlab functions: scatter (.,.)for2d data scatter plot (10 points) Please explain how this application would be related to your major