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This book is a thorough introduction to linear algebra, for the graduate or advanced undergraduate student. Prerequisites are limited to a knowledge of the basic properties of matrices and determinants. However, since we cover the basics of vector spaces and linear transformations rather rapidly, a prior course
These are rough notes for a Fall 2019 course on advanced linear algebra, covering topics such as constructions, structure theory, norms, and holomorphic calculus. The notes are available for academic reuse and include exercises, examples, and proofs.
A comprehensive and encyclopedic textbook on linear algebra theory, both classical and modern, with over 100 pages of new materials in the third edition. Download PDF chapters or access the book online from SpringerLink.
30 gru 2015 · This book is a thorough introduction to linear algebra, for the graduate or advanced undergraduate student. Prerequisites are limited to a knowledge of the basic properties of matrices and determinants.
These are rough notes for a course on advanced linear algebra taught by Lior Silberman at UBC in 2014. They cover topics such as constructions, structure theory, norms, holomorphic calculus and representation theory.
ALGEBRAIC BACKGROUND 1. Fields In an introductory linear algebra course, one generally considers vector spaces for which the scalars are real numbers. The vast majority of the results that you may have seen for real vector spaces remain unchanged if we allow other systems of numbers as scalars, as long as they form a field.
viii Contents MatrixofDualofLinearMap 113 Exercises3F 115 Chapter4 Polynomials 119 ZerosofPolynomials 122 DivisionAlgorithmforPolynomials 123 ...
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