%% Exam 2 Take Home, Question 2
% First we load the data (be sure to download it from the class website):
load Exam2Q2;  % The matrix X should be loaded into memory, 5 x 100.

%% Part (a):  Double center the matrix X to create the matrix Xm:


%% Part (b):  Compute the covariance matrix using matrix multiplication:


%% Part (c):  Find the value of the largest eigenvalue of C


%% Part (d):  Find the value of the largest singular value of Xm


%% Part (e):  From the SVD of Xm, project the data to U(:,1).


%% Part (f):  Find the variance of the projected data.


%% Part (g):  Are the answers to (c) and (d) the same?  How would we convert one to get the other?