create a vector ,of sets of predefined numbers stored in another row vectors

Guys,I have two row vectors X=[3:6] and Y=[8:27].I want to create and store all possible combinations of (X,Y) in another vector ,say Z.

So my Z will be, Z=[(3,8) (3,9) (3,10)...(3,27) (4,8) (4,9)......(6,26) (6,27)]

Answer 1

[Guillaume]

This is called the Cartesian product of the two sets.

A fairly straightforward way is to use ndgrid:

x = 3:6;
y = 8:27;

[xx, yy] = ndgrid(x, y);
cartprod = [xx(:) yy(:)]

This works also for more than two vectors:

 x = 3:6;
 y = 8:27;
 z = 2:2:8;

 [xx, yy, zz] = ndgrid(x, y, z);
 cartprod = [xx(:) yy(:) zz(:)]

[Ace_ventura]

Thnx Guillaume

[Ace_ventura]

Just one more thing. I want to extract 3rd set i.e. (5,8)..however when i tried cartprod(3),it gives me 5. I want to obtain that set value i.e. 5 and 8

[Guillaume]

cartprod(3, :)

You want all the columns (:) of the 3rd row

Answer 2

[James Tursa]

Not sure how you want the answer actually stored (the syntax in your example isn't clear), but here is one way:

XX = repmat(X(:)',numel(Y),1);
YY = repmat(Y(:),1,numel(X));
Z = [XX(:) YY(:)];

[Ace_ventura]

thanks James