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Vectors, Norm and distance, Clustering, Matrices, Linear equations, Matrix multiplication, Linear dynamical systems, Least squares, Multi-objective least squares, Constrained least squares. Linear Algebra Notes by David A.
Linear Algebra (Modular Mathematics Series)
Santos PDF Pages English The purpose with these notes is to introduce students to the concept of proof in linear algebra in a gentle manner. It provides an introduction to various numerical methods used in linear algebra.
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This is done because of the interesting nature of these methods. It is designed both for engineering and science majors, but has enough abstraction to be useful for potential math majors.
Our goal in writing it was to produce students who can perform computations with linear systems and also understand the concepts behind these computations. Erdman PDF Pages English This collection of exercises is designed to provide a framework for discussion in a junior level linear algebra class conducted fairly regularly at Portland State University.
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Finan PDF Pages English This book is addressed primarely to second and third year college engineering students who have already had a course in calculus and analytic geometry. It is the result of lecture notes given by the author at Arkansas Tech University.
Vector spaces, The field of complex numbers, Linear maps, Subspaces, Matrices, Linear independence and dimension, Ranks, Linear maps and matrices, Determinants, Eigenvalues and Eigenvectors. Fundamentals of Linear Algebra James B.
Carrell PDF Pages English This textbook is meant to be a mathematically complete and rigorous introduction to abstract linear algebra for undergraduates, possibly even first year students, specializing in mathematics. Author tried very hard to emphasize the fascinating and important interplay between algebra and geometry.
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Course Material for Linear Algebra I University of Oxford Online NA Pages English Linear algebra pervades and is fundamental to algebra, geometry, analysis, applied mathematics, statistics, and indeed most of mathematics. This course note lays the foundations, concentrating mainly on vector spaces and matrices over the real and complex numbers.
The group structure of SLn over a field, Linear algebraic groups over field, Root systems, Chevalley groups, K-theoretic results related to Chevalley group, structure and classification of almost simple algebraic groups, Further K-theoretic results for simple algebraic groups. Number systems and fields, Vector spaces, Linear independence, spanning and bases of vector spaces, Subspaces, Linear transformations, Matrices, Linear transformations and matrices, Elementary operations and the rank of a matrix, The inverse of a linear transformation and of a matrix, Change of basis and equivalent matrices.
This book covers the following topics: Gauss-Jordan elimination, matrix arithmetic, determinants , linear algebra, linear transformations, linear geometry, eigenvalues and eigenvectors. The Structure of Finite Algebras D.