How do you bring about all possible combinations from two row vectors?

Say for example I have

x=[1 2 3 4] y=[1 2 3 4]

and I wanted to create a new vector z which would give all combinations of the elements of x and y. It would look something like

z=[(1,1) (1,2) (1,3) (1,4) (2,1) (2,2) (2,3) (2,4) (3,1) etc etc]. Is this even possible?

Answer 1

[Matt J]

Yes. Use NDGRID or MESHGRID, e.g.,

>> [x,y]=ndgrid([1,2], [3,4])

x =

       1     1
       2     2

y =

       3     4
       3     4

>> z=[x(:),y(:)]

z =

       1     3
       2     3
       1     4
       2     4