This book is intended to help students of universities and students of technical institutes to practice solving exercises in Linear Algebra (I and II).The exercises in the book are divided into eight chapters, and each chapter contains exercises that refer to material from previous chapters. The selection of exercises was made in such a way that the required methodology for solving them is evident. It was considered appropriate to include at the end of the book the symbols of various concepts with the multiplicity that (unfortunately) they are presented, while at the beginning of each chapter the corresponding definitions of the concepts it deals with are included. Effort has been made to present topics from examinations of various universities and technical institutes in the country, as well as topics from international literature. From this position, I would like to thank mathematician Rula Spandagou for her suggestions and assistance in correcting the manuscripts and essays.