# 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