## Linear Algebra

**Linear Algebra**. Instructor: Prof. Dilip Patil, Department of Mathematics, IISc Bangalore. The main purpose of this course is the study of linear operators on finite dimensional vector spaces. The idea is to emphasize the simple geometric notions common to many parts of mathematics and its applications. Except for an occasional reference to undergraduate mathematics, the course will be self-contained. The algebraic coordinate free methods will be adopted throughout the course. These methods are elegant and as elementary as the classical as coordinatized treatment.
The scalar field will be arbitrary (even a finite field), however, in the treatment of vector spaces with inner products, special attention will be given to the real and complex cases. Determinants via the theory of multilinear forms. Variety of examples of the important concepts.
(from **nptel.ac.in**)

Introduction to Algebraic Structures |

References |

Linear AlgebraInstructor: Prof. Dilip Patil, Department of Mathematics, IISc Bangalore. The main purpose of this course is the study of linear operators on finite dimensional vector spaces. |