Guide to Linear Algebra pp 160-176 | Cite as

# Eigenvectors

Chapter

## 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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## Copyright information

© David A. Towers 1988