We prove the simple fact that no finite field is algebraically closed using rational and Jordan canonical forms.

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# A Linear-Algebraic Overkill Proof that Finite Fields are not Algebraically Closed

Posted byCalvin Wooyoung ChinPosted inNotesTags:Algebra, Fields, Finite Fields, Jordan Canonical Form, Linear Algebra, Rational Canonical Form

We prove the simple fact that no finite field is algebraically closed using rational and Jordan canonical forms.

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