Problem 1 Principal component Analysis (PCA) is a mathematical tool that is used for analysing components of the data according to their weight on the data distribution. It is widely used for changing the basis of data and/or dimen- sion reduction. In order to determine the principle components and their weights eigenvalues and eigenvectors are used. (b) Write a MATLAB code for PCA. For that purpose you are not allowed to use built-in functions for PCA. Please include comments on your code. Otherwise you will get half credits