Matrices, Mappings and Partial Inverses
Novikoff, A. B. and Seppala-Holtzman, D. N. (2001) Matrices, Mappings and Partial Inverses. In: Robert J. Bumcrot Festschrift, 11 May 2001, Hofstra University.
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This paper has been inspired by and is intended to illustrate three methodological principles. First, the duality aspect of linear algebra: All spaces and all maps between them occur in dual pairs. Second, mapping diagram techniques: These are indispensable for following the composition of maps, which, unlike their matrix formulations, present themselves in a basis-free way. Third, Euclidean structures, usually given to a space, V, by assigning it an inner product, can be also specified by a suitable map E: V -> V*, from V to its dual.
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