%% YOURNAME (DUEDATE)
%
% *IMPORTANT:*
%
% Do not change *anything* in this header (besides your
% name and due date above as needed)!
%
% Put your solution to the exercise completely at the end
% of this file.
%
%%
% <latex>
% % for Octave, or for Matlab published to LaTeX for proclatex
% \input{../setup.tex}
% </latex>
%
%% LINEAR ALGEBRA, Exercise 5

if ~exist('___code___','var') ; clear ; end
format compact
more off


%% EXERCISE DESCRIPTION:
%
% Find the frequencies of vibration of a power line.
%
% The governing equations are
%
%           + 2 a1 - a2 == omega^2/49 a1
%      - a1 + 2 a2 - a3 == omega^2/49 a2
%      - a2 + 2 a3 - a4 == omega^2/49 a3
%      - a3 + 2 a4 - a5 == omega^2/49 a4
%      - a4 + 2 a5 - a6 == omega^2/49 a5
%      - a5 + 2 a6      == omega^2/49 a6
%
% The above can be turned into an eigenvalue problem for
% a proper choice of matrix, eigenvector, and eigenvalue.
% We can then let Matlab solve that and print out the
% first three frequencies.


%% SOLUTION:


