The book is an introduction to linear algebra intended as a
textbook for the first course in linear algebra. In the first six
chapters we present the core topics: matrices, the vector space n,
orthogonality in n, determinants, eigenvalues and eigenvectors, and
linear transformations. The book gives students an opportunity to
better understand linear algebra in the next three chapters: Jordan
forms by examples, singular value decomposition, and quadratic
forms and positive definite matrices.In the first nine chapters
everything is formulated in terms of n. This makes the ideas of
linear algebra easier to understand. The general vector spaces are
introduced in Chapter 10. The last chapter presents problems solved
with a computer algebra system. At the end of the book we have
results or solutions for odd numbered exercises.
General
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