%% Exam 1 Take Home, Question 2
% First we load the data (be sure to download it from the class website):

load Exam1Q2;  % 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 C 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, compute the coordinates of the projection of the data to U(:,1).


%% Part (f):  Find the variance of the data found in part (e).