# Polynomially Isometric Matrices in Low Dimensions

@article{Brooks2021PolynomiallyIM, title={Polynomially Isometric Matrices in Low Dimensions}, author={Cara D. Brooks and Alberto A. Condori and Nicholas Seguin}, journal={The American Mathematical Monthly}, year={2021}, volume={128}, pages={513 - 524} }

Abstract Given two d × d matrices, say A and B, when do p(A) and p(B) have the same “size” for every polynomial p? In this article, we provide definitive results in the cases d = 2 and d = 3 when the notion of size used is the spectral norm.

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