Should be simple, but can't figure out :)(adsbygoogle = window.adsbygoogle || []).push({});

Why is that , for a field K, the linear independence of field homomorphisms g1, ..., gn: K -> K

equivalent to the existence of elements a1, ..., an \in K such that the determinant

det| gi(aj)| != 0 (....so, just like in a case of linear independence of vectors).

Thanks!

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# Linearly independent field homomorphisms.

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