%% An Example Write Up in Matlab
% 
%% Solving a Least Squares problem in Matlab
%
%  Descriptive Sample Text
%  We can even include LaTeX code (we'll be exporting to Latex later):  
%
% <latex>
% \begin{tabular}{|c|c|} 
% \hline
% Letter & Output\\
% \hline
% T & $-60$\\
% G & $0$\\
% F & $60$\\
% \end{tabular}
% </latex>

%% Initialize the matrix A and desired outputs t.

N=100;  %Number of points to use

A=[2*randn(N,1)-1, randn(N,1)+2];

t=3*A(:,1)-2*A(:,2)+0.01*randn(N,1);

%% Form the normal equations and solve:
%
c=inv(A'*A)*A'*t

c2=A\t

%% Look at the error
out1=A*c;
out2=A*c2;

plot(1:N,out1,1:N,out2)