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https://doi.org/10.1007/978-94...

Part of book or chapter of book . 1995 . Peer-reviewed

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Eigenvectors and Eigenvalues

Name: Eigenvectors and Eigenvalues
Creator: Jonathan S. Golan

descriptionPublicationkeyboard_double_arrow_right Part of book or chapter of book , Other literature type 01 Jan 1995Publisher:Springer Netherlands

Authors: Jonathan S. Golan;

doi: 10.1007/978-94-015-8502-6_11

Eigenvectors and Eigenvalues

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Abstract

We are still in the midst of considering the following problem: given a vector space V finitely generated over a field F and given an endomorphism α of V, we want to find a basis for V relative to which α can be represented in a “nice” manner. In Chapter 10 we saw that if V has a basis composed of eigenvectors of α then, relative to that basis, α is represented by a diagonal matrix. However, what happens if such a basis is not available?

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University of Haifa
Israel

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