### Linear Algebra (MATH-5127)

The aim of the course is to arrange data in tabular forms. The course is designed for use of mathematical concepts in problem solving through matrices. This course is designed to learn special techniques of matrices. Analyze the structure of real world problems and to plan solution strategies for matrices determinants. This course will provide a foundation of important mathematical ideas in particular arrangments. This focuses in making connections among the various conceptual and numerical formation.

Pre-requisite:

Pre requisites for linear algebra include courses typically called Elementary Algebra and intermediate algebra as well as introductory to trigonometry.

Learning Outcomes:

Students will able to solve the system of equations in the form of matrices, by various techniques and by column row operation of matrices.

Course Content:

• Matrices, algebra of matrices, inverses of matrices, elementary row operations in matrices, row operations in matrices, ranks and transformation in matrices.
• System of linear equations, Gaussian elimination method, Gauss Gorden method.
• Determinants of square matrices, determinant and transpose of matrices, algorithm to evalute determinants and inverses of matrices, net work flow problems and their solutions.

Recommended Books:

1. Elementary Linear Algebra, Applications Version Howard Anton, John Wiley & Sons, Incorporated, 2014.

2. Matrices and linear algebra, Hans Schneider, George Phillip Barker -2012.

Suggested Books:

1. Introduction to applied linear algebra, vector matrices and least square. Stephen Boyd, Lieven Vanden Berghe, Cambridge university press, 2018.

2. Elementary Linear Algebra, a matrix approach, Lawrence E. Spence, Arnold J. Insel, Stephen H. Friedberg, PrenticeHall. 2008.

Assesment Criteria:

Sessional: 20 (Presentation / Assignment 10, Attendance 05, Quiz 05)

Mid-Term Exam:  30

Final-Term Exam: 50

### Key Dates and Time of Class Meeting

Every Tuesday                                                                    04:00 pm - 05:00 pm

Every Thrusday                                                                  11:00 am - 12:00 pm

Every Friday                                                                       3:00 pm - 4:00 pm

Commencement of Classes                                                   February 22, 2021

Mid Term Examination                                                            December 19-23, 2021

Final Term Examination                                                          June  21-25, 2021

Declaration of Result                                                              July 02, 2021