IC152, Linear Algebra-II

IC152, Linear Algebra-II

Instructors

Lecture: Dr. Pawan Kumar Mishra (pawan@iitbhilai.ac.in, +919118498909)

Tutorials: The students are distributed in the following 4 groups for tutorial classes. The students should join these tutorial classes through the links mentioned agains each group as below.

Tutor Venue Students Links

• Dr. Asrifa Sultana 104 12140010 to 12140460 https://iitbhilai.webex.com/meet/tut_1

• Dr. Rajkumar Mistri 302 12140470 to 12140910 https://iitbhilai.webex.com/meet/tut_2

• Ms. Shivani Valecha 303 12140920 to 12141370 https://iitbhilai.webex.com/meet/tut_3

• Mr. Vinayak Mani Tripathi 304 12141380 to 12141790 https://iitbhilai.webex.com/meet/btech_2021

Timings

Lecture: Tuesday (10:00- 11:20) , Thursday (11:30-12:50) and Friday (2:30-3:50)

Tutorial: Wednesday (2:30-3:50)

Discussions: As per the need on Saturdays

Venue

The course will run in ONLINE mode in B104. The link is

https://iitbhilai.webex.com/meet/btech_2021

Course Content

• Eigenvalues, eigenvectors and some applications of eigenvalue problems,

• Hermitian, skew-Hermitian, unitary matrices and their eigenvalues;

• Eigen bases, diagonalization, annihilating polynomial, minimal and characteristic polynomial, Cayley-Hamilton theorem;

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

• Computer lab using MATLAB

Evaluation

There will be three quizzes, each having 15% weightage of total marks and one Tierce exam (Tierce-3) of 50% weightage of total marks. There is 5% weightage of total marks for attendance.

Reference Books

• Introduction to Linear Algebra by Gilbert Strang (South Asian Edition)

• Advanced Engineering Mathematics, E. Kreyszig ( John Wiley)

• Linear Algebra by Kenneth Hoffman and Ray Kunze (Pearson)

• Linear Algebra by S.H. Friedberg, A.J. Insel, L.E. Spence (Prentice Hall)

Lectures and Tutorials

Lecture 1 (06-01-2022) Tutorial 1 (09-01-2022) Quiz1 Solutions

Lecture 2 (11-01-2022) Tutorial 1 Solutions (12-01-2022) Quiz2 Solutions

Lecture 3 (13-01-2022) Tutorial 2 (16-01-2022) Quiz3 Solutions

Lecture 4 (14-01-2022) Tutorial 2 Solutions (20-01-2022) Quiz4 Solutions

Lecture 5 (18-01-2022) Tutorial 3 (29-01-2022) Tierce Solutions

Lecture 6 (25-01-2022) Tutorial 3 Solutions (04-02-2022)

Lecture 7 (27-01-2022) Tutorial 4 (07-02-2022)

Lecture 8 (28-01-2022) Tutorial 4 Solutions ( 17-02-2022)

Lecture 9 (01-02-2022) Tutorial 5 (11-02-2022)

Lecture 10 (03-02-2022) Tutorial 5 Solutions (17-02-2020)

Lecture 11 (06-02-2022)

Lecture 12 (08-02-2022)

Lecture 13 (10-02-2022)

Lecture 14 (11-02-2022)

Lecture 15 (15-02-2022)

Suggestions

It is advised that students should try to solve tutorial sheet before coming to the tutorial class. One tutorial class will be dedicated for one tutorial sheet to provide necessary help. In case, you feel uncomfortable either in the lectures or in tutorials, you are advised to contact to the course instructor as soon as possible so that the issue can be resolved well within time. As the course will run in higher pace as compared to the regular semester, you are not likely to get extra time to prepare for your exams. Therefore , you should learn in the classes in order to perform well. Avoid any malpractice in online evaluations. These cases will be taken care as per the institute policy.