A historical paper on the elaboration of the discipline's foundations in the middle of the 19th century.
Includes definitions and examples of all basic concepts.
Offers elementary definitions in general linear algebra, matrices and determinants.
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.
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 Lecture Notes (PostScript) by Keith Matthews, 1991.
Online resources relevant to all courses that include linear algebra content.
Gives a definition of the topic and motivation. Sections cover vector spaces, linear transformations, matrix calculus, eigenspaces, diagonalisation, square matrix composition, and quadratic forms.
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