Training Manual . — Novosibirsk, NTU, 2001. — (97+93), s. The first part of the textbook includes tasks on the topics "Complex numbers", "Matrixes and determinants", "Linear spaces", "Systems of linear equations", "Euclidean and unitary spaces", "Square forms" . The second part of the work includes tasks on the topic "Linear operators in linear spaces". Methodical explanations are given and practical advice is given to solve problems. The collection is intended for first-year students studying applied mathematics and computer science, and can be useful for students of technical specialties of universities with increased mathematical training.