Abstract

In this closing chapter we will be engaged again with notions and techniques typical for the field of Linear Algebra, but here our attention will also be focused on the abstract structure of vector spaces and linear mappings (or linear transformations) between them. Vectors—the elements of a vector space—do not need to be ordered lists of numbers, polynomials can also be viewed as vectors. Of course, matrices continue to play a prominent role, namely as representations of linear mappings between vector spaces with predetermined bases.KeywordsVector SpaceSingular Value DecompositionMatrix RepresentationCharacteristic PolynomialNull SpaceThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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