# Is this an isomorphism between vector spaces

## Homework Statement

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

## The Attempt at a Solution

any clue ?
can i say because of bijective
a1=e^a1 .......an=e^an ??