A Linear-Algebraic Overkill Proof that Finite Fields are not Algebraically Closed Posted byCalvin Wooyoung ChinDecember 8, 2020January 23, 2021Posted 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. finite-fields-not-closedDownload Share this:TwitterFacebookLike this:Like Loading...