# Nth root of a vector

Could someone please explain how to calculate the nth root of a vector, where n is not an integer?

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chiro
Hey sue132 and welcome to the forums.

What do you mean? Lets say you calculate y = v^n. What is the definition of multiplication you are using (or the definition for exponentiation if you are using that)?

Thanks for the reply, Chiro. What I meant was : if I have a column vector, say v, of length n, then how do I go about calculating v^(1/2) or v(-1/2)?

I should be able to get a vector, say x=v^1/2 such that I get v back when I do x*x. Is this right? If v is a column vector of dimension nX1, then x should be of dimension 1*n. Is this right?

HallsofIvy