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Advanced Linear Algebra - 9781482248845

Un libro in lingua di Cooperstein Bruce N. edito da Chapman & Hall, 2015

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Introducing vector spaces over fields as well as the fundamental concepts of linear combinations, span of vectors, linear independence, basis, and dimension, this book discusses the algebra of polynomials with coefficients in a field, concentrating on results that are consequences of the division algorithm. It develops the structure theory of a linear operator on a finite dimensional vector space and explores inner product spaces from the GramSchmidt process to the spectral theorems for normal and self- adjoint operators.

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