MATLAB: Storing values in for loop

mathematics

i want to make a vector consists of following fi elements from for loop how can i do that ??
where F=[CA;CA^2;CA^3;…etc]
how can i store values of fi in above matrix ???
Code:
Am=[0 1 0;0 0 1;0 -1.8 2.7];
Bm=[0;0;1];
Cm=[6 5 1];
Dm=0;
N2=10;
Nu=2;
[n,n1]=size(Am);
Om=zeros(n,1);
A=[Am Om;Cm*Am 1];
B=[Bm;Cm*Bm];
C=[0 0 0 1];
% To get G,F 
for i=1:N2
    fi=C*A^i;
 end

Best Answer

Looks like you C is a 1x4 row vector and A 4x4.
If you want to store the results as rows of a matrix
   B = A;   
   N2 = 10;
   for nn = 1:N2   
      out(nn,:) = C*B;
      B = B*A;
   end
You also always initialize out with zeros first
out = zeros(N2,4);
before you enter the loop.
Actually if your C is really just [0 0 0 1], then all you're obtaining is the last row of the powers of the matrix A.
 for nn = 1:N2
   B = A^nn;
   out(nn,:) = B(end,:);
 end
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