Power matrix A^t using for loop without overwriting previous values

Hi, I am trying to compute the value of at and pt, where at is the minimum column sum and pt is the maximum column sum, from t=0 to 5. I wrote this code:

A=[0 0 0.319; 0.49 0 0; 0 0.87 0.87];
for t=0:5;

    At=A^t;
    Asum=sum(At);
    at=min(Asum);
    pt=max(Asum);
    hold on
    plot(t,at,t,pt);
  end

The problem is the result that showed up is only the last value of t=5. I need to have the values of at and pt when t=0,1,2,3,4,5 and then plot it.

Any help would be greatly appreciated. Thank you!

Answer 1

[Mohammad Abouali]

A=[0 0 0.319; ...
   0.49 0 0; ...
   0 0.87 0.87];

at=nan(6,1);
pt=nan(6,1);

for t=0:5
    At=A^t; 
    Asum=sum(At);
    at(t+1)=min(Asum);
    pt(t+1)=max(Asum);
end

plot(0:5,at,0:5,pt);

Also check if you really meant At=A^t; or did you mean At=A.^t! They are not the same thing.

[jnovv]

Thank you very much for your help, the code works! I will look more into it as I seem to be missing some fundamental knowledge.

[jnovv]

And yes it is A^t.

[Mohammad Abouali]

You are welcome