Abstract
Throughout this chapter V, W are vector spaces over the same field F. We have seen that the matrix associated with a given linear transformation T: V→ W is dependent upon the bases chosen for V and W. Thus there are lots of such matrices: one corresponding to each choice of bases. It would be helpful for computational purposes if we knew how to make a particular choice of basis for which the associated matrix was as simple as possible. It is this objective that we have in mind in the current chapter.
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© 1988 David A. Towers
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Towers, D.A. (1988). Eigenvectors. In: Guide to Linear Algebra. Macmillan Mathematical Guides. Palgrave, London. https://doi.org/10.1007/978-1-349-09318-2_7
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DOI: https://doi.org/10.1007/978-1-349-09318-2_7
Publisher Name: Palgrave, London
Print ISBN: 978-0-333-43627-1
Online ISBN: 978-1-349-09318-2
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