Learn · Advanced Linear Algebra
Lecture 2 of 60week-01
Lecture 02| Elementary Row Operations| Prof. Premananda Bera| IIT Roorkee| NPTEL
Prof. Premananda Bera · IIT Roorkee
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All the lectures
- Lecture 01| System of Linear Equations| Prof. Premananda Bera| IIT Roorkee| NPTEL
- Lecture 02| Elementary Row Operations| Prof. Premananda Bera| IIT Roorkee| NPTEL
- Lecture 03|Row-Reduced Echelon Form and its Applications|Prof. Premananda Bera|IIT Roorkee|NPTEL
- Lecture 04| Vector Spaces-I| Prof. Premananda Bera| IIT Roorkee| NPTEL
- Lecture 05| Vector Spaces-II| Prof. Premananda Bera| IIT Roorkee| NPTEL
- Lecture 06| Basis and Dimensions-I| Prof. Premananda Bera| IIT Roorkee| NPTEL
- Lecture 07|Basis and Dimensions-II| Prof. Premananda Bera| IIT Roorkee| NPTEL
- Lecture 08| Change of Ordered Basis in F. D. V. S.| Prof. Premananda Bera| IIT Roorkee| NPTEL
- Lecture 09| Row Space of a Matrix| Prof. Premananda Bera| IIT Roorkee| NPTEL
- Lecture 10| Computations concerning Subspaces| Prof. Premananda Bera| IIT Roorkee| NPTEL
- Lecture 11| Linear Transformations| Prof. Premananda Bera| IIT Roorkee| NPTEL
- Lecture 12| Concept of Rank| Prof. Premananda Bera| IIT Roorkee| NPTEL
- Lecture 13| Algebra of Linear Transformations-I| Prof. Premananda Bera| IIT Roorkee| NPTEL
- Lecture 14| Algebra of Linear Transformations-II| Prof. Premananda Bera| IIT Roorkee| NPTEL
- Lecture 15| Algebra of Linear Transformations-III| Prof. Premananda Bera| IIT Roorkee| NPTEL
- Lecture 16|Matrix Representation of Linear Transformations-I|Prof. Premananda Bera|IIT Roorkee|NPTEL
- Lecture 17|Matrix Representation of Linear Transformation-II|Prof. Premananda Bera|IIT Roorkee|NPTEL
- Lecture 18| Linear Functional-I| Prof. Premananda Bera| IIT Roorkee| NPTEL
- Lecture 19| Linear Functional-II| Prof. Premananda Bera| IIT Roorkee| NPTEL
- Lecture 20| Linear Functional-III| Prof. Premananda Bera| IIT Roorkee| NPTEL
- Lecture 21 | Linear Functional & Transpose of L.T. - I | Prof. Premananda Bera | IIT Roorkee | NPTEL
- Lecture 22 | Linear Functional & Transpose of L. T. - II |Prof. Premananda Bera | IIT Roorkee| NPTEL
- Lecture 23|Eigenvalue & Eigenvector of Linear Operator - I |Prof. Premananda Bera| IIT Roorkee|NPTEL
- Lecture 24|Eigenvalue & Eigenvector of Linear Operator - II |Prof. Premananda Bera|IIT Roorkee|NPTEL
- Lecture 25| Eigenvalue & Eigenvector of Digonalizable L. O.|Prof. Premananda Bera| IIT Roorkee|NPTEL
- Lecture 26 | Annihilating Polynomial of Linear Operator | Prof. Premananda Bera | IIT Roorkee|NPTEL
- Lecture 27|Cayley-Hamilton Theorem and Its Applications - I |Prof. Premananda Bera|IIT Roorkee|NPTEL
- Lecture 28|Cayley-Hamilton Theorem and its Applications - II|Prof. Premananda Bera|IIT Roorkee|NPTEL
- Lecture 29| Invariant Subspaces - I | Prof. Premananda Bera| IIT Roorkee|NPTEL
- Lecture 30| Invariant Subspaces - II | Prof. Premananda Bera | IIT Roorkee|NPTEL
- Lecture 31 | Application of Invariant Subspaces - I | Prof. Premananda Bera | IIT Roorkee | NPTEL
- Lecture 32 | Application of Invariant Subspaces - II | Prof. Premananda Bera | IIT Roorkee | NPTEL
- Lecture 33 | Direct Sum Decompositions - I | Prof. Premananda Bera | IIT Roorkee | NPTEL
- Lecture 34 | Direct Sum Decompositions - II | Prof. Premananda Bera | IIT Roorkee | NPTEL
- Lecture 35 | Invariant Direct Sums - I | Prof. Premananda Bera | IIT Roorkee | NPTEL
- Lecture 36| Invariant Direct Sums - II | Prof. Premananda Bera| IIT Roorkee| NPTEL
- Lecture 37 | Decomposition of space and Operator - I | Prof. Premananda Bera | IIT Roorkee | NPTEL
- Lecture 38 | Decomposition of Space and Operator - II | Prof. Premananda Bera| IIT Roorkee|NPTEL
- Lecture 39|Applications of Primary Decomposition Theorem - I|Prof. Premananda Bera|IIT Roorkee|NPTEL
- Lecture 40|Applications of Primary Decomposition Theorem- II|Prof. Premananda Bera|IIT Roorkee|NPTEL
- Lecture 41|Applications of Primary Decomposition Theorem-III |Prof Premananda Bera|IIT Roorkee|NPTEL
- Lecture 42| Inner Products - I |Prof Premananda Bera | IIT Roorkee | NPTEL
- Lecture 43 | Inner Products - II | Prof. Premananda Bera | IIT Roorkee | NPTEL
- Lecture 44| Inner Product Spaces - I |Prof Premananda Bera | IIT Roorkee | NPTEL
- Lecture 45 | Inner Product Spaces - II |Prof Premananda Bera | IIT Roorkee | NPTEL
- Lecture 46 | Best Approximation in I.P.S. |Prof Premananda Bera | IIT Roorkee | NPTEL
- Lecture 47 | Orthogonal Projection in I.P.S. |Prof. Premananda Bera | IIT Roorkee | NPTEL
- Lecture 48 | Linear Functionals and Adjoints - I |Prof Premananda Bera | IIT Roorkee | NPTEL
- Lecture 49 | Linear Functionals and Adjoints - II |Prof Premananda Bera | IIT Roorkee | NPTEL
- Lecture 50 | Linear Functionals and Adjoints - III |Prof Premananda Bera | IIT Roorkee | NPTEL
- Lecture 51 | Linear Functionals and Adjoints - IV |Prof. Premananda Bera | IIT Roorkee | NPTEL
- Lecture 52 | Isomorphism in Inner Product Spaces |Prof. Premananda Bera | IIT Roorkee | NPTEL
- Lecture 53 | Unitary Operators - I |Prof. Premananda Bera | IIT Roorkee | NPTEL
- Lecture 54 | Unitary Operators - II | Prof Premananda Bera | IIT Roorkee | NPTEL
- Lecture 55|Application of Unitary O. & Initiation of Normal Operator |Prof P. Bera|IIT Roorkee|NPTEL
- Lecture 56 | Normal Operator - I | Prof Premananda Bera | IIT Roorkee | NPTEL
- Lecture 57 | Normal Operator - II | Prof. Premananda Bera | IIT Roorkee | NPTEL
- Lecture 58 | Normal Operator and It’s Spectral Resolution | Prof Premananda Bera | IIT Roorkee|NPTEL
- Lecture 59 | Singular Value Decomposition of a Matrix | Prof Premananda Bera | IIT Roorkee | NPTEL
- Lecture 60 | Forms on Inner product Spaces | Prof Premananda Bera | IIT Roorkee | NPTEL