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## 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

## Homework Equations

## The Attempt at a Solution

no idea about this question

any clue ?

can i say because of bijective

a1=e^a1 .......an=e^an ??