Advanced Linear Algebra EXV77JG6SF
| URI | m2://res/EXV77JG6SF |
|---|---|
| Kind | course |
| Creators | Premananda Bera (instructor) |
| Date | 2023-01-12 |
| Scope | in |
| Ids | course 00582g326:111107164 |
Expressions
e1: edition
| Language | en |
|---|---|
| Date | 2023-01-12 |
- m1: page, IIT Roorkee (record). nptel 111107164
- m2: page, 2023-01-12 (record). nptel 111107164
Contents
- part 1: week-01
- session 1: Lecture 01| System of Linear Equations| Prof. Premananda Bera| IIT Roorkee| NPTEL
- session 2: Lecture 02| Elementary Row Operations| Prof. Premananda Bera| IIT Roorkee| NPTEL
- session 3: Lecture 03|Row-Reduced Echelon Form and its Applications|Prof. Premananda Bera|IIT Roorkee|NPTEL
- session 4: Lecture 04| Vector Spaces-I| Prof. Premananda Bera| IIT Roorkee| NPTEL
- session 5: Lecture 05| Vector Spaces-II| Prof. Premananda Bera| IIT Roorkee| NPTEL
- part 2: week-02
- session 6: Lecture 06| Basis and Dimensions-I| Prof. Premananda Bera| IIT Roorkee| NPTEL
- session 7: Lecture 07|Basis and Dimensions-II| Prof. Premananda Bera| IIT Roorkee| NPTEL
- session 8: Lecture 08| Change of Ordered Basis in F. D. V. S.| Prof. Premananda Bera| IIT Roorkee| NPTEL
- session 9: Lecture 09| Row Space of a Matrix| Prof. Premananda Bera| IIT Roorkee| NPTEL
- session 10: Lecture 10| Computations concerning Subspaces| Prof. Premananda Bera| IIT Roorkee| NPTEL
- part 3: week-03
- session 11: Lecture 11| Linear Transformations| Prof. Premananda Bera| IIT Roorkee| NPTEL
- session 12: Lecture 12| Concept of Rank| Prof. Premananda Bera| IIT Roorkee| NPTEL
- session 13: Lecture 13| Algebra of Linear Transformations-I| Prof. Premananda Bera| IIT Roorkee| NPTEL
- session 14: Lecture 14| Algebra of Linear Transformations-II| Prof. Premananda Bera| IIT Roorkee| NPTEL
- session 15: Lecture 15| Algebra of Linear Transformations-III| Prof. Premananda Bera| IIT Roorkee| NPTEL
- part 4: week-04
- session 16: Lecture 16|Matrix Representation of Linear Transformations-I|Prof. Premananda Bera|IIT Roorkee|NPTEL
- session 17: Lecture 17|Matrix Representation of Linear Transformation-II|Prof. Premananda Bera|IIT Roorkee|NPTEL
- session 18: Lecture 18| Linear Functional-I| Prof. Premananda Bera| IIT Roorkee| NPTEL
- session 19: Lecture 19| Linear Functional-II| Prof. Premananda Bera| IIT Roorkee| NPTEL
- session 20: Lecture 20| Linear Functional-III| Prof. Premananda Bera| IIT Roorkee| NPTEL
- part 5: week-05
- session 21: Lecture 21 | Linear Functional & Transpose of L.T. - I | Prof. Premananda Bera | IIT Roorkee | NPTEL
- session 22: Lecture 22 | Linear Functional & Transpose of L. T. - II |Prof. Premananda Bera | IIT Roorkee| NPTEL
- session 23: Lecture 23|Eigenvalue & Eigenvector of Linear Operator - I |Prof. Premananda Bera| IIT Roorkee|NPTEL
- session 24: Lecture 24|Eigenvalue & Eigenvector of Linear Operator - II |Prof. Premananda Bera|IIT Roorkee|NPTEL
- session 25: Lecture 25| Eigenvalue & Eigenvector of Digonalizable L. O.|Prof. Premananda Bera| IIT Roorkee|NPTEL
- part 6: week-06
- session 26: Lecture 26 | Annihilating Polynomial of Linear Operator | Prof. Premananda Bera | IIT Roorkee|NPTEL
- session 27: Lecture 27|Cayley-Hamilton Theorem and Its Applications - I |Prof. Premananda Bera|IIT Roorkee|NPTEL
- session 28: Lecture 28|Cayley-Hamilton Theorem and its Applications - II|Prof. Premananda Bera|IIT Roorkee|NPTEL
- session 29: Lecture 29| Invariant Subspaces - I | Prof. Premananda Bera| IIT Roorkee|NPTEL
- session 30: Lecture 30| Invariant Subspaces - II | Prof. Premananda Bera | IIT Roorkee|NPTEL
- part 7: week-07
- session 31: Lecture 31 | Application of Invariant Subspaces - I | Prof. Premananda Bera | IIT Roorkee | NPTEL
- session 32: Lecture 32 | Application of Invariant Subspaces - II | Prof. Premananda Bera | IIT Roorkee | NPTEL
- session 33: Lecture 33 | Direct Sum Decompositions - I | Prof. Premananda Bera | IIT Roorkee | NPTEL
- session 34: Lecture 34 | Direct Sum Decompositions - II | Prof. Premananda Bera | IIT Roorkee | NPTEL
- session 35: Lecture 35 | Invariant Direct Sums - I | Prof. Premananda Bera | IIT Roorkee | NPTEL
- part 8: week-08
- session 36: Lecture 36| Invariant Direct Sums - II | Prof. Premananda Bera| IIT Roorkee| NPTEL
- session 37: Lecture 37 | Decomposition of space and Operator - I | Prof. Premananda Bera | IIT Roorkee | NPTEL
- session 38: Lecture 38 | Decomposition of Space and Operator - II | Prof. Premananda Bera| IIT Roorkee|NPTEL
- session 39: Lecture 39|Applications of Primary Decomposition Theorem - I|Prof. Premananda Bera|IIT Roorkee|NPTEL
- session 40: Lecture 40|Applications of Primary Decomposition Theorem- II|Prof. Premananda Bera|IIT Roorkee|NPTEL
- part 9: week-09
- session 41: Lecture 41|Applications of Primary Decomposition Theorem-III |Prof Premananda Bera|IIT Roorkee|NPTEL
- session 42: Lecture 42| Inner Products - I |Prof Premananda Bera | IIT Roorkee | NPTEL
- session 43: Lecture 43 | Inner Products - II | Prof. Premananda Bera | IIT Roorkee | NPTEL
- session 44: Lecture 44| Inner Product Spaces - I |Prof Premananda Bera | IIT Roorkee | NPTEL
- session 45: Lecture 45 | Inner Product Spaces - II |Prof Premananda Bera | IIT Roorkee | NPTEL
- part 10: week-10
- session 46: Lecture 46 | Best Approximation in I.P.S. |Prof Premananda Bera | IIT Roorkee | NPTEL
- session 47: Lecture 47 | Orthogonal Projection in I.P.S. |Prof. Premananda Bera | IIT Roorkee | NPTEL
- session 48: Lecture 48 | Linear Functionals and Adjoints - I |Prof Premananda Bera | IIT Roorkee | NPTEL
- session 49: Lecture 49 | Linear Functionals and Adjoints - II |Prof Premananda Bera | IIT Roorkee | NPTEL
- session 50: Lecture 50 | Linear Functionals and Adjoints - III |Prof Premananda Bera | IIT Roorkee | NPTEL
- part 11: week-11
- session 51: Lecture 51 | Linear Functionals and Adjoints - IV |Prof. Premananda Bera | IIT Roorkee | NPTEL
- session 52: Lecture 52 | Isomorphism in Inner Product Spaces |Prof. Premananda Bera | IIT Roorkee | NPTEL
- session 53: Lecture 53 | Unitary Operators - I |Prof. Premananda Bera | IIT Roorkee | NPTEL
- session 54: Lecture 54 | Unitary Operators - II | Prof Premananda Bera | IIT Roorkee | NPTEL
- session 55: Lecture 55|Application of Unitary O. & Initiation of Normal Operator |Prof P. Bera|IIT Roorkee|NPTEL
- part 12: week-12
- session 56: Lecture 56 | Normal Operator - I | Prof Premananda Bera | IIT Roorkee | NPTEL
- session 57: Lecture 57 | Normal Operator - II | Prof. Premananda Bera | IIT Roorkee | NPTEL
- session 58: Lecture 58 | Normal Operator and It’s Spectral Resolution | Prof Premananda Bera | IIT Roorkee|NPTEL
- session 59: Lecture 59 | Singular Value Decomposition of a Matrix | Prof Premananda Bera | IIT Roorkee | NPTEL
- session 60: Lecture 60 | Forms on Inner product Spaces | Prof Premananda Bera | IIT Roorkee | NPTEL
Catalogue records
- nptel: 111107164 (manifestation)
- nptel_video: 111107164 (manifestation)