How to generate the first twenty powers of x?

Question

So, I\'ve got X, a 300-by-1 vector and I\'d like [1, X, X*X, X*X*X, ... , X*X*...*X], a 300-by-twenty matrix.

How should I do this?

X=[2;1]
[X,X.*X,X.*X         


        

Answer 1

The element-wise power operator .^ should do what you need:

x .^ (1:20)

(assuming x is a column vector.)