The ndgrid
function almost gives the answer, but has one caveat: n
output variables must be explicitly defined to call it. Since n
is arbitrary, the best way is to use a comma-separated list (generated from a cell array with n
cells) to serve as output. The resulting n
matrices are then concatenated into the desired n
-column matrix:
vectors = { [1 2], [3 6 9], [10 20] }; %// input data: cell array of vectors
n = numel(vectors); %// number of vectors
combs = cell(1,n); %// pre-define to generate comma-separated list
[combs{end:-1:1}] = ndgrid(vectors{end:-1:1}); %// the reverse order in these two
%// comma-separated lists is needed to produce the rows of the result matrix in
%// lexicographical order
combs = cat(n+1, combs{:}); %// concat the n n-dim arrays along dimension n+1
combs = reshape(combs,[],n); %// reshape to obtain desired matrix