|
E0 219 LINEAR ALGEBRA AND APPLICATIONS AUG--DEC 2016
|
Instructor:
Professor
D. P. Patil
E-mails : patil@math.iisc.ernet.in
dppatil@csa.iisc.ernet.in
|
Exercises
| Exercise Sets |
Date |
Topics |
|
Supplement 1 |
03-08-2016 |
Basic Algebraic Concepts |
| Supplement 2 |
08-08-2016 |
Vector Spaces |
|
Supplement 3 |
18-08-2016 |
Generating Systems, Linear Independence and Bases |
|
Supplement 4 |
22-08-2016 |
Dimension of vector spaces |
|
Supplement 5 |
22-08-2016 |
Linear maps |
|
Supplement 6 |
06-09-2016 |
Linear maps and Bases --- The Rank Theorem |
|
Supplement 7 |
26-09-2016 |
Direct Sums and Projections --- Dual spaces |
|
Supplement 8 |
26-09-2016 |
Quotient spaces and Exact sequences |
|
Supplement 9 |
03-10-2016 |
Matrices---The Matrix of a linear map, Rank of matrices, Elementary matrices
|
|
Supplement 10 |
10-10-2016 |
Determinants---Permutations, Determinant functions, Determinant of a linear operator, Orientations, Determinants and Volumes |
|
Supplement 11 |
06-10-2016 |
Eigenvalues, Characteristic polynomial and Minimal Polynomial
|
| |
|
|
| |
|
|
| |
|
|
| |
|
|
| |
|
|
| |
|
|
| |
|
|
| |
|
|
|
