How can i write this matrix equation in matlab?

i am getting in trouble with this equation. I dont understand how can i write this upper indices? I try array but every time it gives me error. Can anyone help me?

Answer 1

[KSSV]

You need not to write the upper indices, the upper indices stand for the time step. You have to proceed like below.

A = [1/2 0 1/2 ; 0 0 1/2 ; 1/2 1 0 ] ;
x = rand(3,1) ;  % initial value 
t = 0:60 ;  % time 
X = zeros(3,length(t)) ;
X(:,1) = x ;
for i = 2:length(t)
    X(:,i) = A*X(:,i-1) ;
end

[gkc]

Thank you so much! It works correctly right now :)