Abstract
In this chapter, we study the structure of linear transformations. Our aim is to understand the structure of a linear transformation in terms of its most elementary components. This we do by representing the transformation by its matrix representation with respect to particularly appropriate bases. The ultimate goal, not always achievable, is to represent a linear transformation in diagonal form.
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© 2012 Springer Science+Business Media, LLC
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Fuhrmann, P.A. (2012). Structure Theory of Linear Transformations. In: A Polynomial Approach to Linear Algebra. Universitext. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-0338-8_6
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DOI: https://doi.org/10.1007/978-1-4614-0338-8_6
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Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4614-0337-1
Online ISBN: 978-1-4614-0338-8
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