matrix - Cartesian product in MATLAB

Question

Here is the simplified version of the problem I have. Suppose I have a vector

p=[1 5 10] 

and another one

q=[.75 .85 .95]

And I want to come up with the following matrix:

res=[1, .75;
     1, .85;
     1, .95;
     5, .75;
     5, .85;
     5, .95;
    10, .75;
    10, .85;
    10, .95]

This is also known as the Cartesian Product. How can I do that?

Answer 1

Here's one way:

[X,Y] = meshgrid(p,q);
result = [X(:) Y(:)];

The output is:

result =

    1.0000    0.7500
    1.0000    0.8500
    1.0000    0.9500
    5.0000    0.7500
    5.0000    0.8500
    5.0000    0.9500
   10.0000    0.7500
   10.0000    0.8500
   10.0000    0.9500