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Welcome to Open Math
This courseware is freely available for everyone with an interest in mathematics.
Whether you want a complete set of course materials, to look up the definition of linear independence, or to test your skills against a large suite of exercises with instant feedback, this site is for you.
Associate Dean, Undergraduate Studies, Faculty of Mathematics, University of Waterloo
P.S. This is university-level material. If you’re interested in high school mathematics courseware, visit the CEMC Courseware site.
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Linear Algebra 1 is a study of n-dimensional Euclidean spaces, systems of linear equations, matrix algebra, elementary matrices, vector spaces and subspaces, basis and dimension, linear transformations and matrix representations, determinants, eigenvalues and eigenvectors, and diagonalization.
Topics include orthogonal and unitary matrices and transformations; orthogonal projections; the Gram-Schmidt procedure; and best approximations and the method of least squares. Inner products; angles and orthogonality; orthogonal diagonalization; singular value decomposition; and other applications will also be explored.