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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© 1995 Springer Science+Business Media Dordrecht
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Golan, J.S. (1995). Eigenvectors and Eigenvalues. In: Foundations of Linear Algebra. Kluwer Texts in the Mathematical Sciences, vol 11. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8502-6_11
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DOI: https://doi.org/10.1007/978-94-015-8502-6_11
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-4592-8
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