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Abstract theory of vector spaces and linear maps: the theoretical counterparts of vectors and matrices.
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Elements of Abstract and Linear Algebra - An online textbook on abstract algebra with emphasis on linear algebra. Lee Lady's notes on Linear Algebra - It covers systems of linear equations, matrix inverse, equivalence, linear independent and eigen values. Linalg.org - Exact linear algebra computation tools and downloads. Abstract Linear Spaces - From the History of Mathematics project. Linear Algebra Toolkit - 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 from MathWorld - Offers elementary definitions in general linear algebra, matrices and determinants. Linear Algebra Textbook by Jim Hefferon - Covers linear system, vector spaces, maps between spaces, determinant and similarity. Topics in Linear Algebra - An approach unifying the notions of system of equations, matrix inversion, and linear programming. Elementary Linear Algebra by Keith Matthews - Lecture notes and solutions from 1991 in PDF or PostScript. Linear Algebra, Infinite Dimensions, and Maple - A textbook by James Herod. Linear Algebra - Definitions of basic linear algebra concepts, some theorems and examples. Linear Algebra lecture notes - Lecture notes and tutorial problems for the Linear Algebra module in Mathematics for Informatics 3 at the University of Edinburgh. MIT's Linear Algebra video lectures by Gilbert Strang. - basic matrix theory and linear algebra including systems of equations, vector spaces, determinants, eigenvalues, similarity, and positive definite matrices. Linear Algebra Tutorial by Kardi Teknomo - Basic operations on vectors, matrices, solving linear equations and eigen systems using interactive matrix calculators. A First Course in Linear Algebra by Robert A. Beezer - an online text book covers systems of linear equations, matrix algebra, and finite-dimensional vector spaces.
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