Algebra and geometry, 2st term. Problems with solutions

<jats:p>This manual contains problems with detailed solutions for the topics covered in the course "Algebra and Geometry" taught at the Faculty of Computational Mathematics and Cybernetics at Lomonosov Moscow State University during the second semester. It is assumed that the reader has a basic understanding of the following concepts: metric, normalized and unitary spaces, linear operators and their matrices, the structure of linear operators, linear operators in normalized and unitary spaces, conjugate operator, matrix norms, convex sets and systems of linear inequalities.</jats:p>