TEW  Linear Algebra and Matrix Groups
Speakers and Syllabus
Speakers and Tutors
Name of the Speaker with affiliation 
No. of Lectures 
Detailed Syllabus 
Prof. Amit Maji 
6 
Vector spaces, bases, dimension, isomorphism, dual spaces, reflexivity, annihilators, direct sum, quotient space, tensor product, multilinear forms, alternating forms 
Prof. Arunava Mandal 
6 
Linear transformations, matrices, invariance, projection, change of basis, similarity, rank and nullity, diagonalization, nilpotency, Jordan form

Prof. Pranab Sardar 
6 
Inner product spaces, GramSchmidt procedure, operators on inner product spaces: normal operator, selfadjoint operator, spectral theorems, singular value decomposition. 
Prof. S G Dani 
6 
Various groups of matrices: orthogonal, unitary and symplectic groups; exponential mapping on matrix groups. various decomposition of these matrix groups, and its applications. 
*A special lecture by Prof.Maheshanand.
References:
1. P. Halmos, Finite Dimensional Vector Spaces, Springer. 1974.
2. K. Hoffman and R. Kunze, Linear Algebra, 2nd Edition, Prentice Hall of India. 2015.
3. A. Baker, Matrix Groups: an introduction to Lie group theory, Springer, 2002.
Time Table
Day 
Date 
Lecture 1 (9.30 
Tea (10.35 to 
Lecturer 2 (11.00 
Lecture 3 (12.00 
Lunch (1.00 to 
Lecture 4 (2.30 
Tea (3.35 to 
Discussion (4.00 
Snacks (5.05 to 


(Speaker’s name) 

(Speaker’s name) 
(Speaker’s name) 

(Speaker’s name) 

(Tutor’s name) 

Mon 
2^{nd} Dec 
AM 

AM 
ArM 

ArM 

AM+Javed +Prateek 

Tue 
3rd Dec 
AM 

AM 
ArM 

ArM 

AM+Javed +Prateek 

Wed 
4^{th} Dec 
AM 

AM 
ArM 

ArM 

Maheshanand 

Thu 
5^{th} Dec 
PS 

PS 
SGD 

SGD 

PS+ArM+ Arindam 

Fri 
6^{th} Dec 
PS 

PS 
SGD 

SGD 

PS+ArM+ Arindam 

Sat 
7^{th} Dec 
PS 

PS 
SGD 

SGD 

SGD+ArM+ Arindam 

• AM= Amit Maji; ArM= Arunava Mandal; PS= Pranab Sardar; SGD= S. G. Dani
Name of the tutors :
S. No. 
Name 
Affiliation 
1 
Mo Javed 
IIT Roorkee 
2 
Prateek 
IIT Roorkee 
3 
Arindam Jana 
IISER Berhampur 