| Sl.No | Chapter Name | MP4 Download |
|---|---|---|
| 1 | Lecture 01| System of Linear Equations| Prof. Premananda Bera| IIT Roorkee| NPTEL | Download |
| 2 | Lecture 02| Elementary Row Operations| Prof. Premananda Bera| IIT Roorkee| NPTEL | Download |
| 3 | Lecture 03|Row-Reduced Echelon Form and its Applications|Prof. Premananda Bera|IIT Roorkee|NPTEL | Download |
| 4 | Lecture 04| Vector Spaces-I| Prof. Premananda Bera| IIT Roorkee| NPTEL | Download |
| 5 | Lecture 05| Vector Spaces-II| Prof. Premananda Bera| IIT Roorkee| NPTEL | Download |
| 6 | Lecture 06| Basis and Dimensions-I| Prof. Premananda Bera| IIT Roorkee| NPTEL | Download |
| 7 | Lecture 07|Basis and Dimensions-II| Prof. Premananda Bera| IIT Roorkee| NPTEL | Download |
| 8 | Lecture 08| Change of Ordered Basis in F. D. V. S.| Prof. Premananda Bera| IIT Roorkee| NPTEL | Download |
| 9 | Lecture 09| Row Space of a Matrix| Prof. Premananda Bera| IIT Roorkee| NPTEL | Download |
| 10 | Lecture 10| Computations concerning Subspaces| Prof. Premananda Bera| IIT Roorkee| NPTEL | Download |
| 11 | Lecture 11| Linear Transformations| Prof. Premananda Bera| IIT Roorkee| NPTEL | Download |
| 12 | Lecture 12| Concept of Rank| Prof. Premananda Bera| IIT Roorkee| NPTEL | Download |
| 13 | Lecture 13| Algebra of Linear Transformations-I| Prof. Premananda Bera| IIT Roorkee| NPTEL | Download |
| 14 | Lecture 14| Algebra of Linear Transformations-II| Prof. Premananda Bera| IIT Roorkee| NPTEL | Download |
| 15 | Lecture 15| Algebra of Linear Transformations-III| Prof. Premananda Bera| IIT Roorkee| NPTEL | Download |
| 16 | Lecture 21 | Linear Functional & Transpose of L.T. - I | Prof. Premananda Bera | IIT Roorkee | NPTEL | Download |
| 17 | Lecture 22 | Linear Functional & Transpose of L. T. - II |Prof. Premananda Bera | IIT Roorkee| NPTEL | Download |
| 18 | Lecture 23|Eigenvalue & Eigenvector of Linear Operator - I |Prof. Premananda Bera| IIT Roorkee|NPTEL | Download |
| 19 | Lecture 24|Eigenvalue & Eigenvector of Linear Operator - II |Prof. Premananda Bera|IIT Roorkee|NPTEL | Download |
| 20 | Lecture 25| Eigenvalue & Eigenvector of Digonalizable L. O.|Prof. Premananda Bera| IIT Roorkee|NPTEL | Download |
| 21 | Lecture 26 | Annihilating Polynomial of Linear Operator | Prof. Premananda Bera | IIT Roorkee|NPTEL | Download |
| 22 | Lecture 27|Cayley-Hamilton Theorem and Its Applications - I |Prof. Premananda Bera|IIT Roorkee|NPTEL | Download |
| 23 | Lecture 28|Cayley-Hamilton Theorem and its Applications - II|Prof. Premananda Bera|IIT Roorkee|NPTEL | Download |
| 24 | Lecture 29| Invariant Subspaces - I | Prof. Premananda Bera| IIT Roorkee|NPTEL | Download |
| 25 | Lecture 30| Invariant Subspaces - II | Prof. Premananda Bera | IIT Roorkee|NPTEL | Download |
| 26 | Lecture 31 | Application of Invariant Subspaces - I | Prof. Premananda Bera | IIT Roorkee | NPTEL | Download |
| 27 | Lecture 32 | Application of Invariant Subspaces - II | Prof. Premananda Bera | IIT Roorkee | NPTEL | Download |
| 28 | Lecture 33 | Direct Sum Decompositions - I | Prof. Premananda Bera | IIT Roorkee | NPTEL | Download |
| 29 | Lecture 34 | Direct Sum Decompositions - II | Prof. Premananda Bera | IIT Roorkee | NPTEL | Download |
| 30 | Lecture 35 | Invariant Direct Sums - I | Prof. Premananda Bera | IIT Roorkee | NPTEL | Download |
| 31 | Lecture 36| Invariant Direct Sums - II | Prof. Premananda Bera| IIT Roorkee| NPTEL | Download |
| 32 | Lecture 37 | Decomposition of space and Operator - I | Prof. Premananda Bera | IIT Roorkee | NPTEL | Download |
| 33 | Lecture 38 | Decomposition of Space and Operator - II | Prof. Premananda Bera| IIT Roorkee|NPTEL | Download |
| 34 | Lecture 39|Applications of Primary Decomposition Theorem - I|Prof. Premananda Bera|IIT Roorkee|NPTEL | Download |
| 35 | Lecture 40|Applications of Primary Decomposition Theorem- II|Prof. Premananda Bera|IIT Roorkee|NPTEL | Download |
| 36 | Lecture 41|Applications of Primary Decomposition Theorem-III |Prof Premananda Bera|IIT Roorkee|NPTEL | Download |
| 37 | Lecture 42| Inner Products - I |Prof Premananda Bera | IIT Roorkee | NPTEL | Download |
| 38 | Lecture 43 | Inner Products - II | Prof. Premananda Bera | IIT Roorkee | NPTEL | Download |
| 39 | Lecture 44| Inner Product Spaces - I |Prof Premananda Bera | IIT Roorkee | NPTEL | Download |
| 40 | Lecture 45 | Inner Product Spaces - II |Prof Premananda Bera | IIT Roorkee | NPTEL | Download |
| 41 | Lecture 46 | Best Approximation in I.P.S. |Prof Premananda Bera | IIT Roorkee | NPTEL | Download |
| 42 | Lecture 47 | Orthogonal Projection in I.P.S. |Prof. Premananda Bera | IIT Roorkee | NPTEL | Download |
| 43 | Lecture 48 | Linear Functionals and Adjoints - I |Prof Premananda Bera | IIT Roorkee | NPTEL | Download |
| 44 | Lecture 49 | Linear Functionals and Adjoints - II |Prof Premananda Bera | IIT Roorkee | NPTEL | Download |
| 45 | Lecture 50 | Linear Functionals and Adjoints - III |Prof Premananda Bera | IIT Roorkee | NPTEL | Download |
| 46 | Lecture 51 | Linear Functionals and Adjoints - IV |Prof. Premananda Bera | IIT Roorkee | NPTEL | Download |
| 47 | Lecture 52 | Isomorphism in Inner Product Spaces |Prof. Premananda Bera | IIT Roorkee | NPTEL | Download |
| 48 | Lecture 53 | Unitary Operators - I |Prof. Premananda Bera | IIT Roorkee | NPTEL | Download |
| 49 | Lecture 54 | Unitary Operators - II | Prof Premananda Bera | IIT Roorkee | NPTEL | Download |
| 50 | Lecture 55|Application of Unitary O. & Initiation of Normal Operator |Prof P. Bera|IIT Roorkee|NPTEL | Download |
| 51 | Lecture 56 | Normal Operator - I | Prof Premananda Bera | IIT Roorkee | NPTEL | Download |
| 52 | Lecture 57 | Normal Operator - II | Prof. Premananda Bera | IIT Roorkee | NPTEL | Download |
| 53 | Lecture 58 | Normal Operator and It’s Spectral Resolution | Prof Premananda Bera | IIT Roorkee|NPTEL | Download |
| 54 | Lecture 59 | Singular Value Decomposition of a Matrix | Prof Premananda Bera | IIT Roorkee | NPTEL | Download |
| 55 | Lecture 60 | Forms on Inner product Spaces | Prof Premananda Bera | IIT Roorkee | NPTEL | Download |
| Sl.No | Chapter Name | English |
|---|---|---|
| 1 | Lecture 01| System of Linear Equations| Prof. Premananda Bera| IIT Roorkee| NPTEL | Download Verified |
| 2 | Lecture 02| Elementary Row Operations| Prof. Premananda Bera| IIT Roorkee| NPTEL | PDF unavailable |
| 3 | Lecture 03|Row-Reduced Echelon Form and its Applications|Prof. Premananda Bera|IIT Roorkee|NPTEL | PDF unavailable |
| 4 | Lecture 04| Vector Spaces-I| Prof. Premananda Bera| IIT Roorkee| NPTEL | PDF unavailable |
| 5 | Lecture 05| Vector Spaces-II| Prof. Premananda Bera| IIT Roorkee| NPTEL | PDF unavailable |
| 6 | Lecture 06| Basis and Dimensions-I| Prof. Premananda Bera| IIT Roorkee| NPTEL | PDF unavailable |
| 7 | Lecture 07|Basis and Dimensions-II| Prof. Premananda Bera| IIT Roorkee| NPTEL | PDF unavailable |
| 8 | Lecture 08| Change of Ordered Basis in F. D. V. S.| Prof. Premananda Bera| IIT Roorkee| NPTEL | PDF unavailable |
| 9 | Lecture 09| Row Space of a Matrix| Prof. Premananda Bera| IIT Roorkee| NPTEL | PDF unavailable |
| 10 | Lecture 10| Computations concerning Subspaces| Prof. Premananda Bera| IIT Roorkee| NPTEL | PDF unavailable |
| 11 | Lecture 11| Linear Transformations| Prof. Premananda Bera| IIT Roorkee| NPTEL | PDF unavailable |
| 12 | Lecture 12| Concept of Rank| Prof. Premananda Bera| IIT Roorkee| NPTEL | PDF unavailable |
| 13 | Lecture 13| Algebra of Linear Transformations-I| Prof. Premananda Bera| IIT Roorkee| NPTEL | PDF unavailable |
| 14 | Lecture 14| Algebra of Linear Transformations-II| Prof. Premananda Bera| IIT Roorkee| NPTEL | PDF unavailable |
| 15 | Lecture 15| Algebra of Linear Transformations-III| Prof. Premananda Bera| IIT Roorkee| NPTEL | PDF unavailable |
| 16 | Lecture 21 | Linear Functional & Transpose of L.T. - I | Prof. Premananda Bera | IIT Roorkee | NPTEL | PDF unavailable |
| 17 | Lecture 22 | Linear Functional & Transpose of L. T. - II |Prof. Premananda Bera | IIT Roorkee| NPTEL | PDF unavailable |
| 18 | Lecture 23|Eigenvalue & Eigenvector of Linear Operator - I |Prof. Premananda Bera| IIT Roorkee|NPTEL | PDF unavailable |
| 19 | Lecture 24|Eigenvalue & Eigenvector of Linear Operator - II |Prof. Premananda Bera|IIT Roorkee|NPTEL | PDF unavailable |
| 20 | Lecture 25| Eigenvalue & Eigenvector of Digonalizable L. O.|Prof. Premananda Bera| IIT Roorkee|NPTEL | PDF unavailable |
| 21 | Lecture 26 | Annihilating Polynomial of Linear Operator | Prof. Premananda Bera | IIT Roorkee|NPTEL | PDF unavailable |
| 22 | Lecture 27|Cayley-Hamilton Theorem and Its Applications - I |Prof. Premananda Bera|IIT Roorkee|NPTEL | PDF unavailable |
| 23 | Lecture 28|Cayley-Hamilton Theorem and its Applications - II|Prof. Premananda Bera|IIT Roorkee|NPTEL | PDF unavailable |
| 24 | Lecture 29| Invariant Subspaces - I | Prof. Premananda Bera| IIT Roorkee|NPTEL | PDF unavailable |
| 25 | Lecture 30| Invariant Subspaces - II | Prof. Premananda Bera | IIT Roorkee|NPTEL | PDF unavailable |
| 26 | Lecture 31 | Application of Invariant Subspaces - I | Prof. Premananda Bera | IIT Roorkee | NPTEL | PDF unavailable |
| 27 | Lecture 32 | Application of Invariant Subspaces - II | Prof. Premananda Bera | IIT Roorkee | NPTEL | PDF unavailable |
| 28 | Lecture 33 | Direct Sum Decompositions - I | Prof. Premananda Bera | IIT Roorkee | NPTEL | PDF unavailable |
| 29 | Lecture 34 | Direct Sum Decompositions - II | Prof. Premananda Bera | IIT Roorkee | NPTEL | PDF unavailable |
| 30 | Lecture 35 | Invariant Direct Sums - I | Prof. Premananda Bera | IIT Roorkee | NPTEL | PDF unavailable |
| 31 | Lecture 36| Invariant Direct Sums - II | Prof. Premananda Bera| IIT Roorkee| NPTEL | PDF unavailable |
| 32 | Lecture 37 | Decomposition of space and Operator - I | Prof. Premananda Bera | IIT Roorkee | NPTEL | PDF unavailable |
| 33 | Lecture 38 | Decomposition of Space and Operator - II | Prof. Premananda Bera| IIT Roorkee|NPTEL | PDF unavailable |
| 34 | Lecture 39|Applications of Primary Decomposition Theorem - I|Prof. Premananda Bera|IIT Roorkee|NPTEL | PDF unavailable |
| 35 | Lecture 40|Applications of Primary Decomposition Theorem- II|Prof. Premananda Bera|IIT Roorkee|NPTEL | PDF unavailable |
| 36 | Lecture 41|Applications of Primary Decomposition Theorem-III |Prof Premananda Bera|IIT Roorkee|NPTEL | PDF unavailable |
| 37 | Lecture 42| Inner Products - I |Prof Premananda Bera | IIT Roorkee | NPTEL | PDF unavailable |
| 38 | Lecture 43 | Inner Products - II | Prof. Premananda Bera | IIT Roorkee | NPTEL | PDF unavailable |
| 39 | Lecture 44| Inner Product Spaces - I |Prof Premananda Bera | IIT Roorkee | NPTEL | PDF unavailable |
| 40 | Lecture 45 | Inner Product Spaces - II |Prof Premananda Bera | IIT Roorkee | NPTEL | PDF unavailable |
| 41 | Lecture 46 | Best Approximation in I.P.S. |Prof Premananda Bera | IIT Roorkee | NPTEL | PDF unavailable |
| 42 | Lecture 47 | Orthogonal Projection in I.P.S. |Prof. Premananda Bera | IIT Roorkee | NPTEL | PDF unavailable |
| 43 | Lecture 48 | Linear Functionals and Adjoints - I |Prof Premananda Bera | IIT Roorkee | NPTEL | PDF unavailable |
| 44 | Lecture 49 | Linear Functionals and Adjoints - II |Prof Premananda Bera | IIT Roorkee | NPTEL | PDF unavailable |
| 45 | Lecture 50 | Linear Functionals and Adjoints - III |Prof Premananda Bera | IIT Roorkee | NPTEL | PDF unavailable |
| 46 | Lecture 51 | Linear Functionals and Adjoints - IV |Prof. Premananda Bera | IIT Roorkee | NPTEL | PDF unavailable |
| 47 | Lecture 52 | Isomorphism in Inner Product Spaces |Prof. Premananda Bera | IIT Roorkee | NPTEL | PDF unavailable |
| 48 | Lecture 53 | Unitary Operators - I |Prof. Premananda Bera | IIT Roorkee | NPTEL | PDF unavailable |
| 49 | Lecture 54 | Unitary Operators - II | Prof Premananda Bera | IIT Roorkee | NPTEL | PDF unavailable |
| 50 | Lecture 55|Application of Unitary O. & Initiation of Normal Operator |Prof P. Bera|IIT Roorkee|NPTEL | PDF unavailable |
| 51 | Lecture 56 | Normal Operator - I | Prof Premananda Bera | IIT Roorkee | NPTEL | PDF unavailable |
| 52 | Lecture 57 | Normal Operator - II | Prof. Premananda Bera | IIT Roorkee | NPTEL | PDF unavailable |
| 53 | Lecture 58 | Normal Operator and It’s Spectral Resolution | Prof Premananda Bera | IIT Roorkee|NPTEL | PDF unavailable |
| 54 | Lecture 59 | Singular Value Decomposition of a Matrix | Prof Premananda Bera | IIT Roorkee | NPTEL | PDF unavailable |
| 55 | Lecture 60 | Forms on Inner product Spaces | Prof Premananda Bera | IIT Roorkee | NPTEL | PDF unavailable |
| Sl.No | Language | Book link |
|---|---|---|
| 1 | English | Not Available |
| 2 | Bengali | Not Available |
| 3 | Gujarati | Not Available |
| 4 | Hindi | Not Available |
| 5 | Kannada | Not Available |
| 6 | Malayalam | Not Available |
| 7 | Marathi | Not Available |
| 8 | Tamil | Not Available |
| 9 | Telugu | Not Available |