Pairs Of Matrices With Quadratic Minimal Polynomials

Document Type

Article

Publication Date

7-1-1983

Published In

Linear Algebra And Its Applications

Abstract

Let A, B be n × n matrices over a field F, and suppose A, B have quadratic minimal polynomials. Then the algebra generated by A, B has dimension at most 2n − 1 if n is odd and 2n if n is even. These bounds are exact.

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