Instructor

Avijit Pal

email:avijit@iitbhilai.ac.in

contact no:+918918592744

Timings and Venue:

Monday : 10:00 - 11:20

Wednesday : 10:00 - 11:20

Friday : 10:00 - 11:20

Tutorial: Thursday : 8:30 - 09:50

Venue : Online mode (Webex)

Content:

1. Eigenvalues, eigenvectors and some applications of eigenvalue problems

2. Hermitian, skew-Hermitian, unitary matrices and their eigenvalues;

3. Eigen bases, diagonalization, annihilating polynomial, the minimal polynomial and the characteristic polynomial, Cayley-Hamilton theorem;

4. Inner product spaces, orthonormal bases, Gram-Schmidt process.

5. Computer lab by using appropriate software tools like Python, MATLAB etc.

TAs:

• Mr. Mostafizar Khandakar 12040460-12040900 (https://iitbhilai.webex.com/meet/b203)

• Mr. Shubhankar Mandal 12040910-12041200 (https://iitbhilai.webex.com/meet/b302)

• Mr. Pallab Maiti 12041210-12041800 (https://iitbhilai.webex.com/meet/b303)

Evaluation Scheme:

• One quiz

• Two assignment

• Two exams

Lecture Notes and Tutorials:

Lecture-1 Tutorial 1 Tutorial 1 solution

Lecture-2 Tutorial 2

Lecture 3

Lecture 4

Reference Books:

• Linear Algebra Paperback – 1 January 1978, Kenneth Hoffman , Ray Kunze

• Introduction to Linear Algebra 5th Edition, Gilbert Strang

• Linear Algebra Paperback – January 1, 2002, Stephen Friedberg , Arnold Insel , Lawrence Spence