matlab - Vectorizing the creation of a matrix of successive powers

Question

Let x=1:100 and N=1:10. I would like to create a matrix x^N so that the i^th column contains the entries [1 i i^2 ... i^N].

I can easily do this using for loops. But is there a way to do this using vectorized code?

Answer 1

I'd go for:

x = 1:100;
N = 1:10;
Solution = repmat(x,[length(N)+1 1]).^repmat(([0 N])',[1 length(x)]);

Another solution (probably much more efficient):

Solution = [ones(size(x)); cumprod(repmat(x,[length(N) 1]),1)];

Or even:

 Solution = bsxfun(@power,x,[0 N]');

Hope this helps.