As per Nep 2020

Included Indexes.

The book is intended to serve the student as a map through the introductory linear algebra course. To that end it delivers an elementary treatment of linear algebra - suitable for a beginner course for undergraduate students. the journey shall take us through vectors matrices and their connection to systems of linear equations Gauss-Jordan elimination eigenvalues and diagonalization. Students embarking on a linear algebra course should have a comprehensive knowledge of matrices and vectors. The examples and exercises have been cautiously curated to maintain a symmetry between theory and practice. Over the course of five chapters the book traverses the fundamental material canvassed by most elementary linear algebra courses like vectors matrices system of linear equations eigenvalues and diagonalization. The gears change in Chapter 5 as students reach the introduction of vector spaces and linear transformations. To supplement this core we have also included six appendices devoted to trace and determinant of a matrix minors and cofactors adjoint of a matrix applications of linear equations LU decomposition and finally computer graphics. The aim is to present the student with the essentials of linear algebra in the most lucid and crystalline fashion.Contents:1. Vectors2. Matrices3. System of Linear Equations4. Eigenvalues and Diagonalization5. Vector Spaces and Linear Transformations Appendix I: Trace and Determinant of a Matrix Appendix II: Minors and Cofactors Appendix III: Adjoint of a Matrix Appendix IV: Applications of Linear Equations Appendix V: LU Decomposition Appendix VI: Computer Graphics Selected Bibliography Index

English