Vector spaces, Bases and dimensions, Linear transformations, Matrix algebra, Eigen values and Eigen vectors.
Lines and hyperplanes, convex sets, convex hull and their properties, Formulation of a Linear Programming Problem, Theorems dealing with vertices of feasible regions and optimality, Graphical solution, Simplex method (including Big M method and two-phase method), infeasible and unbounded LPP's, alternate optima, Dual problem and duality theorem. Transportation problems, Assignment problems, Travelling salesman problems.

To learn Vector spaces, Bases and dimensions, Linear transformations, Matrix algebra, Eigen values, and Eigen vectors.

To study Lines and hyperplanes, convex sets, convex hull and their properties, Formulation of a Linear Programming Problem, Theorems dealing with vertices of feasible regions and optimality.

To study Graphical solutions, the Simplex method (including the Big M method and two-phase method), infeasible and unbounded LPPs, alternate optima,

To learn the Dual problem and duality theorem. Transportation problems, Assignment problems, Travelling salesman problems.

1. The students will learn and understand the basics of Vector spaces, Bases and dimensions, linear transformations, Matrix algebra, eigenvalues, and eigenvectors.

2. The students will learn Lines and hyperplanes, convex sets, convex hull and their properties, Formulation of a Linear Programming Problem, Theorems dealing with vertices of feasible regions, and optimality.

3. The students will understand the Graphical solutions, the Simplex method (including the Big M method and two-phase method), infeasible and unbounded LPPs, alternate optima,

4. The students will understand the Dual problem and duality theorem—transportation problems, Assignment problems, and Travelling salesman problems.

K. Hoffman and R. A. Kunze, Linear Algebra, Prentice Hall of India

H. A. Taha, Operations Research: An Introduction, Pearson Education Limited

H. Dym, Linear algebra in Action, American Mathematical Society

W. L.Winston, Operation Research, Thomson Learning EMEA