THE TEACHING OF MATHEMATICS

THE TEACHING OF MATHEMATICS
A note on Brauer's theorem
Aaron Melman

Abstract

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.

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Keywords: Eigenvalue; eigenvector; rank-one modification; Brauer.

Pages:  17$-$19     

Volume  XXIII ,  Issue  1 ,  2020