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E0 219 LINEAR ALGEBRA AND APPLICATIONS AUG -- DEC 2011
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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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LECTURE NOTES
| Sections |
Date |
Topics |
| E0-219-LAA11-LN-1A |
AUG 25, 2011 |
1A ALGEBRAIC STRUCTURES |
| E0-219-LAA11-LN-1B |
AUG 25, 2011 |
1B VECTORS SPACES |
| E0-219-LAA11-LN-1C |
AUG 25, 2011 |
1C SUBSPACES |
| E0-219-LAA11-LN-2 |
AUG 25, 2011 |
2 LINEAR EQUATIONS --2A Gauss Elimination Process |
| E0-219-LAA11-LN-3A |
AUG 25, 2011 |
3A GENERATING SYSTEMS, LINEAR INDEPENDENCE, BASES |
| E0-219-LAA11-LN-3B |
AUG 25, 2011 |
3B DIMENSION OF VECTOR SPACES |
| E0-219-LAA11-LN-5B |
SEPT 26, 2011 |
5A
HOMOMORPHISMS OF GROUPS |
| E0-219-LAA11-LN-5B |
SEPT 26, 2011 |
5B LINEAR MAPS |
| E0-219-LAA11-LN-5C |
SEPT 26, 2011 |
5C SPACE OF LINEAR MAPS |
| E0-219-LAA11-LN-5D |
SEPT 26, 2011 |
5D LINEAR MAPS AND BASES |
| E0-219-LAA11-LN-5E |
SEPT 26, 2011 |
5E THE RANK THEOREM |
| E0-219-LAA11-LN-5F |
SEPT 26, 2011 |
5F DIRECT SUMS AND PROJECTIONS |
| E0-219-LAA11-LN-5G |
SEPT 26, 2011 |
5G DUAL SPACES |
| E0-219-LAA11-LN-6B |
OCT 07, 2011 |
6B QUOTIENT SPACES |
| E0-219-LAA11-LN-6E |
OCT 17, 2011 |
6E OPERATIONS OF GROUPS |
| E0-219-LAA11-LN-8A |
OCT 31, 2011 |
8A MATRICES |
| E0-219-LAA11-LN-8B |
OCT 31, 2011 |
8B RANK OF MATRICES |
| E0-219-LAA11-LN-8C |
OCT 31, 2011 |
8C ELEMENTARY MATRICES |
| E0-219-LAA11-LN-9A |
OCT 31, 2011 |
9A PERMUTATIONS |
| E0-219-LAA11-LN-9B |
OCT 31, 2011 |
9B MULTI-LINEAR MAPS |
| E0-219-LAA11-LN-9C |
OCT 31, 2011 |
9C DETERMINANT FUNCTIONS |
| E0-219-LAA11-LN-9D |
OCT 31, 2011 |
9D COMPUTATION RULES FOR DETERMINANTS |
| E0-219-LAA11-LN-9E |
OCT 31, 2011 |
9E DETERMINANTS OF LINEAR MAPS |
| E0-219-LAA11-LN-9F |
OCT 31, 2011 |
9F ORIENTATIONS |
| E0-219-LAA11-LN-9G |
OCT 31, 2011 |
9G DETERMINANTS AND VOLUMES |
| E0-219-LAA11-LN-9G |
OCT 31, 2011 |
9G DETERMINANTS AND VOLUMES |
| E0-219-LAA11-LN-9G |
OCT 31, 2011 |
10A POLYNOMIALS IN ONE VARIABLE |
| E0-219-LAA11-LN-9G |
OCT 31, 2011 |
10B POLYNOMIALS IN SEVERAL VARIABLES |
| E0-219-LAA11-LN-11A |
NOV 22, 2011 |
11A EIGEN_VALUES, CHARACTERISTIC POLYNOMIALS, MINIMAL POLYNOMIALS |
| E0-219-LAA11-LN-11A |
NOV 22, 2011 |
11B DIAGONALISABLE AND TRIGONALISABLE OPERATORS |
| E0-219-LAA11-LN-11A |
NOV 22, 2011 |
11C SOME DECOPOSITIONS THEOREMS |
| E0-219-LAA11-LN-11A |
NOV 22, 2011 |
11D JORDON NORMAL FORM |
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