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## Homework Statement

Let f1,f2, ..., fn : K -> L be field morphisms. We know that fi != fj when i != j, for any i and j = {1,...,n}. Prove that f1,f2, ..., fn are linear independent / K.

## Homework Equations

f1, ...., fn are field morphisms => Ker (fi) = 0 (injective)

## The Attempt at a Solution

I tried to use the linearity and the injectivity but i got stuck.