DESCRIPTION This book covers the material of an introductory course in linear algebra: sets and maps, vector spaces, bases, linear maps, matrices, determinants, systems of linear equations, Euclidean spaces, eigenvalues and eigenvectors, diagonalization of self-adjoint operators, and classification of matrices. The book is written for beginners. Its didactic features (the "book within a book" and multiple choice tests with commented answers) make it especially suitable for self-study. TABLE OF CONTENTS 1. Sets and Maps 2. Vector Spaces 3. Dimension 4. Linear Maps 5. Matrix Calculus 6. Determinants 7. Systems of Linear Equations 8. Euclidean Vector Spaces 9. Eigenvalues 10. The Principal Axes Tranformation 11. classification of Matrices 12. Answer to the tests References Index.