close all; clc; clear; 

% Problem EPage 45
% 
A = [ 2, 3, 6; 2, 3, -4; 6, 11, 4 ];
disp( 'the eigenvalues of A are' )
eig(A)

disp('picking lambda = 5 then rref on A - lambda I gives')
rref( A - 5 * eye(3) )