Linear Algebra Algebra Math

Linear Algebra

Abstract theory of vector spaces and linear maps: the theoretical counterparts of vectors and matrices.

• - Includes information on subscription, paper submission, and table of contents.
  
• - Contains narrated and animated lessons, interactive exploration and computational tools, and an assessment system providing feedback to guide student learning.
  
• - Exact linear algebra computation tools and downloads.
  
• - Online Lecture Notes (PostScript) by Keith Matthews, 1991.
  
• - By Lee Lady: available in PDF, PS or DVI.
  
• - An online textbook on abstract algebra with emphasis on linear algebra.
  
• - Includes definitions and examples of all basic concepts.
  
• - Gives a definition of the topic and motivation. Sections cover vector spaces, linear transformations, matrix calculus, eigenspaces, diagonalisation, square matrix composition, and quadratic forms.
  
• - An interactive micro-course for beginners, by Hans Lundmark. (Uses JavaScript.)
  
• - By Jim Hefferon. Free download in PDF and TeX source code. Covers the material of an undergraduate first linear algebra course.
  
• - An approach unifying the notions of system of equations, matrix inversion, and linear programming.
  
• - A historical paper on the elaboration of the discipline's foundations in the middle of the 19th century.
  
• - An informative description of the subject of linear algebra and all of its subfields from the Mathematical Atlas.
  
• - Offers elementary definitions in general linear algebra, matrices and determinants.
  
• - 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.
  
• - Online text, each page is a GIF format image.
  
• - 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.
  
• - From the History of Mathematics project.
  
  

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