Eigenvalues and eigenvectors

Jonathan S. Golan
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Jonathan S. Golan: University of Haifa

Chapter 12 in The Linear Algebra a Beginning Graduate Student Ought to Know, 2007, pp 229-266 from Springer

Abstract: Abstract One of the central problems in linear algebra is this: given a vector space V finitely generated over a field F, and given an endomorphism a of V, is there a way to select a basis B of V so that the matrix ΦBB(α) is as nice as possible? In this chapter we will begin by defining some basic notions which will help us address this problem.

Keywords: Positive Integer; Vector Space; Diagonal Matrix; Characteristic Polynomial; Canonical Basis (search for similar items in EconPapers)
Date: 2007
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DOI: 10.1007/978-1-4020-5495-2_12

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