(PCA exercise) We have the following the training samples: {(2,1), (2,2), (3,2), (3,3), (4,1),(6,5), (7,4), (7,5), (8,5), (8,6)', (7,7)' }; (a) Use PCA to find the principal components (eigenvectors) and the eigenvalues. (Use Python and paper-pen.) (b) Project all the samples on to the first principal component, and calculate the variance. (Use Python and display the projected values on a graph.) (c) Project all the samples on to the second principal component, and calculate the variance. (Use Python and display the projected values on a graph.)