Characteristic Polynomial in Several Variables

Rongwei Yang
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Rongwei Yang: University at Albany, the State University of New York, Department of Mathematics & Statistics

Chapter Chapter 1 in A Spectral Theory Of Noncommuting Operators, 2024, pp 1-21 from Springer

Abstract: Abstract For a square matrix A ∈ M k ( ℂ ) $$A\in M_k({\mathbb C})$$ , its characteristic polynomial Q A ( z ) = det ( z − A ) $$Q_A(z)=\det (z-A)$$ is a basic subject of study in linear algebra. The idea of connecting a matrix with a polynomial has far-reaching impact in many ways. However, studies in mathematics, science, technology, and engineering often concern with several matrices A 1 , … , A n $$A_1, \dots , A_n$$ with algebraic connections.

Date: 2024
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DOI: 10.1007/978-3-031-51605-4_1

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