Creating a matrix containing binary vectors as elements

Based on the dimension n, i want to create a matrix containing binary vectors:

For example with n=1:

A=[[-1],[0],[1]]'

n=2:

A=[[-1,-1],[-1,0],[-1,1],[0,-1],...,[1,1]]

n=3:

A=[[-1,-1,-1,-1],[-1,-1,-1,0],[-1,-1,-1,1],[-1,-1,0,-1],[-1,-1,0,0],...,[1,1,1,1]]'

Since the dimension is the input variable, I don't know how many while- or for-commands i need in advance.

Any suggestions?

[Star Strider]

It's not obvious from your question what you want to do.

How are you creating the elements of your vectors?

Is ‘A’ different for each value of n or are you dynamically creating A?

For a start, I suggest you explore creating ‘A’ as cell or perhaps structure data. They may do what you want.

Answer 1

[Rick Rosson]

   N = 4;

   A = zeros(3^N,N);

   for k = 1:N
       r = N - k;
       v = [ -1*ones(3^r,1) ; zeros(3^r,1) ; ones(3^r,1) ];
       A(:,k) = repmat(v,3^(k-1),1);
   end

[David]

Thank you Rick.

That's exactly what i was looking for.

David