We have the following the samples: {(2,1)', (2,2), (3,2), (3,3)', (4,1)', (6,5)', (7,4)', (7,5)', (8,5)', (8,6)'}. (a) (15 points) Apply PCA to determine the principal components. (b) (5 points) What is the variance of the data projected onto the first principal component? (c) (10 points) Find the representation of a data point (7,3)' using only the first principal component. What is the error (Euclidean distance) of this representation