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Linear Algebra
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Numerical Linear Algebra (7)
Web Pages
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  Linalg.org http://www.linalg.org/
Exact linear algebra computation tools and downloads.
  Linear Algebra from MathWorld http://mathworld.wolfram.com/topics/LinearAlgebra.html
Offers elementary definitions in general linear algebra, matrices and determinants.
  Linear Algebra http://joshua.smcvt.edu/linalg.html
Textbook by Jim Hefferon covering the material of any undergraduate first linear algebra course. Book or chapters in PDF.
  Linear Algebra Textbook http://joshua.smcvt.edu/linearalgebra/
By Jim Hefferon. Free download in PDF and TeX source code. Covers the material of an undergraduate first linear algebra course.
  Elements of Abstract and Linear Algebra http://www.math.miami.edu/~ec/book/
An online textbook on abstract algebra with emphasis on linear algebra.
  Linear and Multilinear Algebra, Matrix Theory http://www.math.niu.edu/~rusin/known-math/index/15-XX.html
An informative description of the subject of linear algebra and all of its subfields from the Mathematical Atlas.
  Linear Algebra http://www.numbertheory.org/book/
"Elementary Linear Algebra" by Keith Matthews. Lecture notes and solutions from 1991 in PDF or PostScript.
  Professor Strang's Linear Algebra Class http://web.mit.edu/18.06/www/Video/video-fall-99.html
Offers online video lectures for MIT's Linear Algebra course. Topics include geometric properties, using matrices, permutations, pivot variables, subspaces, Cramer's Rule, and Eigenvalues.
  Linear Algebra, Infinite Dimensions, and Maple http://www.math.gatech.edu/~herod/Hspace/Hspace.html
A textbook by James Herod.
  Linear Algebra Toolkit http://www.math.odu.edu/~bogacki/lat
Step by step solutions of problems such as Gauss-Jordan reduction, calculating the determinant, and finding a basis of a space spanned by given vectors.
  Linear Algebra and Applications http://www.math.unl.edu/~tshores1/linalgtext.html
Textbook by Thomas Shores. GIFs of pages.
  Notes on Linear Algebra http://www.math.hawaii.edu/~lee/linear/
By Lee Lady: available in PDF, PS or DVI.
  Matrix Multiplication http://www.mai.liu.se/~halun/matrix/matrix.html
An interactive micro-course for beginners, by Hans Lundmark. (Uses JavaScript.)
  Topics in Linear Algebra http://home.ubalt.edu/ntsbarsh/opre640a/partXII.htm
An approach unifying the notions of system of equations, matrix inversion, and linear programming.
  Lyryx Interactive Linear Algebra http://lila.lyryx.com/
Contains narrated and animated lessons, interactive exploration and computational tools, and an assessment system providing feedback to guide student learning.
  Linear Algebra Glossary http://people.scs.fsu.edu/~burkardt/html/linear_glossary.html
Includes definitions and examples of all basic concepts.
  Georgia Tech Linear Algebra Site http://www.math.gatech.edu/~bourbaki/linalg/
Online resources relevant to all courses that include linear algebra content.
  Abstract Linear Spaces http://www-groups.dcs.st-and.ac.uk/~history/HistTopics/Abstract_linear_spaces.html
From the History of Mathematics project.

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