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

Answer 1

Since your matrices aren't that big, the most straight-forward way to do this would be to use MESHGRID and the element-wise power operator .^:

[x,N] = meshgrid(1:100,0:10);
x = x.^N;

This creates an 11-by-100 matrix where each column i contains [i^0; i^1; i^2; ... i^10].