Manual is devoted to linear algebra - the most important part of discipline "Mathematics". The first part of the manual consists of 9 sections, which contain theoretical information and examples of assignments. Texts are written in parallel in English and Russian languages. In the second part of the book 390 tasks at linear algebra are collected. Despite the types of tasks are in the traditional general, the tasks themselves are mostly original. The manual is intended for university students enrolled in the bachelor degree programs «Economics» and «Management», as well as «Business Informatics», «Commerce», «Commodity», «State and Municipal Management», «Personnel Management», etc. The manual can be used both for teaching Russian students and foreign students who speak English.