# Is this an isomorphism between vector spaces

1. Apr 22, 2009

### ak123456

1. The problem statement, all variables and given/known data
a belongs to R
show that the map
L: R^n------R^n>0
(R^n>0 denote the n-fold cartesian product of R>0 with itself)
(a1)
(....) ----------
(an)

(e^a1)
(.....)
(e^an)
is a isomorphism between the vector space R^n and the vector space R^n>0

2. Relevant equations

3. The attempt at a solution
no idea about this question
any clue ?
can i say because of bijective
a1=e^a1 .......an=e^an ??

2. Apr 22, 2009

### Dick

Re: isomorphism

I don't get the question. Yes, it is a bijection. But I wouldn't think of (R>0)^n as a vector space in the usual sense. If there's a bijection between two sets you can always say one is the same as the other just by identifying operations in one with operations in the other. But I doubt that's what the question is.

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