# InfoCoBuild

## Introduction to Abstract and Linear Algebra

Introduction to Abstract and Linear Algebra. Instructor: Dr. Sourav Mukhopadhyay, Department of Mathematics, IIT Kharagpur. Abstract and Linear Algebra are applicable to every discipline, be it engineering and technology, economics or social sciences. It is essential for the students to get acquainted with the subject of Abstract and Linear Algebra at an early stage. The present course has been designed to introduce the subject to undergraduate/postgraduate students in science and engineering. The course contains a good introduction to each topic and an advance treatment of theory at a fairly understandable level to the students at this stage. (from nptel.ac.in)

 Lecture 19 - Rings

Go to the Course Home or watch other lectures:

 Lecture 01 - Set Theory Lecture 02 - Set Operations Lecture 03 - Set Operations (cont.) Lecture 04 - Set of Sets Lecture 05 - Binary Relation Lecture 06 - Equivalence Relation Lecture 07 - Mapping Lecture 08 - Permutation Lecture 09 - Binary Composition Lecture 10 - Groupoid Lecture 11 - Group Lecture 12 - Order of an Element Lecture 13 - Subgroup Lecture 14 - Cyclic Group Lecture 15 - Subgroup Operations Lecture 16 - Left Cosets Lecture 17 - Right Cosets Lecture 18 - Normal Subgroup Lecture 19 - Rings Lecture 20 - Field Lecture 21 - Vector Spaces Lecture 22 - Subspaces Lecture 23 - Linear Span Lecture 24 - Basis of a Vector Space Lecture 25 - Dimension of a Vector Space Lecture 26 - Complement of Subspace Lecture 27 - Linear Transformation Lecture 28 - Linear Transformation (cont.) Lecture 29 - More on Linear Mapping Lecture 30 - Linear Space Lecture 31 - Rank of a Matrix Lecture 32 - Rank of a Matrix (cont.) Lecture 33 - System of Linear Equations Lecture 34 - Row Rank and Column Rank Lecture 35 - Eigenvalue of a Matrix Lecture 36 - Eigenvector Lecture 37 - Geometric Multiplicity Lecture 38 - More on Eigenvalue Lecture 39 - Similar Matrices Lecture 40 - Diagonalisable