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This course discusses the concepts and terminology of linear algebra. It includes the following topics: Sentences of linear equations, methods of elimination (Gaus, Jordan). Matrices (operations and properties), prime matrices, reciprocal matrix, solving sentences of linear equations in matrix style. determinants. Radial and radial subspaces, linear independence, base and dimension, the four major subspaces of a matrix. Internal product in spaces, orthogonal regular bases, orthogonal polynomials, eigenvalues and eigen rays, spectral differentiation of all kinds, quadratic forms, solving systems of linear differential equations with constant examples, distillation, Markov chains, general linear transformations, inverse linear transformations, kernel and range, apps.

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