MATLAB: How to stretch matrix

matrix

I am wondering if there is a way to do so…

Suppose I have a 1 x 5 matrix that contains 5 random numbers, x=[2,10,31,24,11]

Now, I would like to make it become y=[2,3,10,11,31,32,24,25,11,12]

that is, add a column next to each column in z, and each of the additional column added carries the value that is +1 of z's value.

y = reshape( [x; x+1], [], 1);

Something like this should do the trick:

a=1:120;
b=reshape(a,10,3,[]);
x=squeeze(b(:,1,:));
y=squeeze(b(:,2,:));
z=squeeze(b(:,3,:));

 (x(2:2:10,:) + x(1:2:9,:))/2

Thats the "simple" answer. There are other methods that are more flexible, but which need a little more thought eg.:

 y = reshape(x,[2,5,5])
 answer = squeeze(mean(y));