How can I generate all possible combinations of a given number of vectors?

Hello, I'm currently trying to generate all possible combinations of given vectors in all possible matrices.

If n=2 the possible vectors are [1 0;0 1;2 0;0 2] If n=3 the possible vectors are [1 0 0;0 1 0;0 0 1;2 0 0;0 2 0;0 0 2]

I generate a matrix with the possible vectors: In this case n=3

 B=3;

D_possibilities1=diag(ones(1,B),0);
D_possibilities2=diag(2*ones(1,B),0);

 D_possibilities=zeros(B*2,B);

 for i=1:B
    D_possibilities(i,:)=D_possibilities1(i,:);
    D_possibilities(B+i,:)=D_possibilities2(i,:);
 end

Now I'm struggling to generate all possible matrices with all possible combinations

Any help is welcome, thanks

Answer 1

[Karsten Reuß]

There are several commands you may try, depending on if you want replacement/no replacement/ ordering matters or not,

One command is "perms":

perms(0:2)

If the ordering does not matter, you have fewer combinations. In this case the command "combnk" will help

combnk(0:3,3)

Another interesting command that may help you is "nchoosek". In this code you combine the command with "perms", so the ordering matters:

n = 6; k = 2;
nk = nchoosek(1:n,k);
p=zeros(0,k);
for i=1:size(nk,1),
    pi = perms(nk(i,:));
    p = unique([p; pi],'rows');
end

Answer 2

[Birdman]

Hope this is what you want:

clear C;
n=3;
for i=1:n
    C{i,1}=unique(perms([zeros(1,n-1) i]),'rows');
end
C=fliplr(cell2mat(C));
C(any(C>2,2),:)=[]

Change n and observe the result you want.