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English: Linear Algebra by Jim Hefferon, along with its answers to exercises, is a text for a first undergraduate course. It is Free. Use it as the main book, as a supplement, or for independent study.
Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts.
Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts.
Differential Equations and Linear Algebra (2014) Differential Equations and Linear Algebra - New Book Website; Essays in Linear Algebra (2012) Algorithms for Global Positioning, with Kai Borre (2012) An Analysis of the Finite Element Method, with George Fix (2008) Computational Science and Engineering (2007) Linear Algebra and Its Applications ...
Linear algebra is the branch of mathematics concerning linear equations such as ... every submodule of a free module is free, ... MIT Linear Algebra Video Lectures, ...
Download as PDF; Printable version; ... This is an outline of topics related to linear algebra, the branch of mathematics concerning linear equations and linear maps ...
Multilinear algebra is the study of functions with multiple vector-valued arguments, with the functions being linear maps with respect to each argument. It involves concepts such as matrices , tensors , multivectors , systems of linear equations , higher-dimensional spaces , determinants , inner and outer products, and dual spaces .
The Steinitz exchange lemma is a basic theorem in linear algebra used, for example, to show that any two bases for a finite-dimensional vector space have the same number of elements. The result is named after the German mathematician Ernst Steinitz .
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