function []=prob_9_1_4()
%
% Written by:
% -- 
% John L. Weatherwax                2006-12-14
% 
% email: wax@alum.mit.edu
% 
% Please send comments and especially bug reports to the
% above email address.
% 
%-----
  
clc; close all; 

disp( 'the (8x8) Hilbert matrix' ); 
A = hilb(8)

format long; 
disp( 'the eigenvalues of hilb(8)' ); 
[E]=eig(A)

disp( 'the norm of hilb(8) is given by' ); 
max(E)

disp( 'the eigenvalues of inv(hilb(8))' ); 
1./E

disp( 'the norm of invhilb(8) is given by' ); 
max(1./E)