function [sev,M] = prob_10_3(n)
% PROB_10_3 - 
% 
% I think the eigenvalues will be E^( i*(2*pi/n)*k )
% for k = 0, 1, 2, ... n-1.
% 
% Wrong.  They are sqrt(n) * [ +\- 1 and +\- i ]
% 
% Written by:
% -- 
% John L. Weatherwax                2005-08-28
% 
% email: wax@alum.mit.edu
% 
% Please send comments and especially bug reports to the
% above email address.
% 
%-----

M = fft(eye(n));
sev = eig(M)/sqrt(n);