This advanced textbook on linear algebra and geometry covers a wide range of classical and modern topics. Differing from existing textbooks in approach, the work illustrates the many-sided applications and connections of linear algebra with functional analysis, quantum mechanics and algebraic and differential geometry. The subjects covered in some

P. K. Suetin, Alexandra I. Kostrikin, Yu I Manin, both Steklov Institute of Mathematics, USSR Academy of Sciences, Moscow. Translated from the Second Russian Edition by M. E. Alferieff.