A note on Brauer's theorem
The Teaching of Mathematics, XXIII (2020) no. 1, p. 17 .

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

We present an elementary proof of Brauer's theorem, which shows how knowledge of an eigenpair can be used to change a single eigenvalue of a matrix.
Classification : 97H60, 15A18, H65
Keywords: eigenvalue, eigenvector, rank-one modification, Brauer.
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Aaron Melman. A note on Brauer's theorem. The Teaching of Mathematics, XXIII (2020) no. 1, p. 17 . http://geodesic.mathdoc.fr/item/TM2_2020_XXIII_1_a1/