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E0 219 LINEAR ALGEBRA AND APPLICATIONS AUG--DEC 2016
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Instructor:
Professor
D. P. Patil
E-mails : patil@math.iisc.ernet.in
dppatil@csa.iisc.ernet.in
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Exercises
| Exercise Sets |
Date |
Topics |
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Ex
Set 1 |
03-08-2016 |
Basic Algebraic Concepts |
| Ex
Set 2 |
08-08-2016 |
Vector Spaces |
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Ex Set 3 |
10-08-2016 |
Generating Systems, Linear Independence and Bases |
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Ex Set 4 |
22-08-2016 |
Dimension of vector spaces |
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Ex Set 5 |
31-08-2016 |
Linear maps |
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Ex Set 6 |
06-09-2016 |
Linear maps and Bases --- The Rank Theorem |
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Ex Set 7 |
26-09-2016 |
Direct Sums and Projections --- Dual spaces |
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Ex Set 8 |
26-09-2016 |
Quotient spaces |
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Ex Set 9 |
03-10-2016 |
Matrices---The Matrix of a linear map, Rank of matrices, Elementary matrices |
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Ex Set 10 |
10-10-2016 |
Determinants---Permutations, Determinant functions, Determinant of a linear operator, Orientations, Determinants and Volumes |
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Ex Set 11 |
02-11-2016 |
Eigenvalues, Characteristic polynomial and Minimal Polynomial |
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