Review: System of linear Equations, linear independence. (3 hrs)
Eigen values and Eigen vectors: Definitions and properties. Positive definite, negative definite and indefinite. (8 hrs) Diagonalization and Orthogonal Diagonalization. Properties of Matrices. Symmetric and Skew Symmetric Matrices, Hermitian and Skew Hermitian Matrices and Orthogonal matrices. (Sections: 8.1-8.4) (10 hrs)
Numerical Computations: L U factorization, Gauss Seidal and Gauss Jacobi methods for solving system of equations. Power Method for Eigen Values and Eigen Vectors. (Sections: 20.2, 20.3, 20.8) (8 hrs)
Test-1 -25 marks (one hour test) after 15th lecture.
CA - 25 marks (Quizzes / assignments / lab practice) Test – 2- 50 marks (two-hour test) at the end of 30th lecture. Total - 100 marks.
Supplementary exam for this course will be conducted as a two-hour test for 100 marks.