| Module Name | Download |
|---|---|
| noc20_ma54_assignment_Week_0 | noc20_ma54_assignment_Week_0 |
| noc20_ma54_assignment_Week_1 | noc20_ma54_assignment_Week_1 |
| noc20_ma54_assignment_Week_10 | noc20_ma54_assignment_Week_10 |
| noc20_ma54_assignment_Week_11 | noc20_ma54_assignment_Week_11 |
| noc20_ma54_assignment_Week_12 | noc20_ma54_assignment_Week_12 |
| noc20_ma54_assignment_Week_2 | noc20_ma54_assignment_Week_2 |
| noc20_ma54_assignment_Week_3 | noc20_ma54_assignment_Week_3 |
| noc20_ma54_assignment_Week_4 | noc20_ma54_assignment_Week_4 |
| noc20_ma54_assignment_Week_5 | noc20_ma54_assignment_Week_5 |
| noc20_ma54_assignment_Week_6 | noc20_ma54_assignment_Week_6 |
| noc20_ma54_assignment_Week_7 | noc20_ma54_assignment_Week_7 |
| noc20_ma54_assignment_Week_8 | noc20_ma54_assignment_Week_8 |
| noc20_ma54_assignment_Week_9 | noc20_ma54_assignment_Week_9 |
| Sl.No | Chapter Name | MP4 Download |
|---|---|---|
| 1 | Notations, Motivation and Definition | Download |
| 2 | Matrix: Examples, Transpose and Addition | Download |
| 3 | Matrix Multiplication | Download |
| 4 | Matrix Product Recalled | Download |
| 5 | Matrix Product Continued | Download |
| 6 | Inverse of a Matrix | Download |
| 7 | Introduction to System of Linear Equations | Download |
| 8 | Some Initial Results on Linear Systems | Download |
| 9 | Row Echelon Form (REF) | Download |
| 10 | LU Decomposition - Simplest Form | Download |
| 11 | Elementary Matrices | Download |
| 12 | Row Reduced Echelon Form (RREF) | Download |
| 13 | Row Reduced Echelon Form (RREF) Continued | Download |
| 14 | RREF and Inverse | Download |
| 15 | Rank of a matrix | Download |
| 16 | Solution Set of a System of Linear Equations | Download |
| 17 | System of n Linear Equations in n Unknowns | Download |
| 18 | Determinant | Download |
| 19 | Permutations and the Inverse of a Matrix | Download |
| 20 | Inverse and the Cramer's Rule | Download |
| 21 | Vector Spaces | Download |
| 22 | Vector Subspaces and Linear Span | Download |
| 23 | Linear Combination, Linear Independence and Dependence | Download |
| 24 | Basic Results on Linear Independence | Download |
| 25 | Results on Linear Independence Continued... | Download |
| 26 | Basis of a Finite Dimensional Vector Space | Download |
| 27 | Fundamental Spaces associated with a Matrix | Download |
| 28 | Rank - Nullity Theorem | Download |
| 29 | Fundamental Theorem of Linear Algebra | Download |
| 30 | Definition and Examples of Linear Transformations | Download |
| 31 | Results on Linear Transformations | Download |
| 32 | Rank-Nullity Theorem and Applications | Download |
| 33 | Isomorphism of Vector Spaces | Download |
| 34 | Ordered Basis of a Finite Dimensional Vector Space | Download |
| 35 | Ordered Basis Continued | Download |
| 36 | Matrix of a Linear transformation | Download |
| 37 | Matrix of a Linear transformation Continued... | Download |
| 38 | Matrix of Linear Transformations Continued... | Download |
| 39 | Similarity of Matrices | Download |
| 40 | Inner Product Space | Download |
| 41 | Inner Product Continued | Download |
| 42 | Cauchy Schwartz Inequality | Download |
| 43 | Projection on a Vector | Download |
| 44 | Results on Orthogonality | Download |
| 45 | Results on Orthogonality. | Download |
| 46 | Gram-Schmidt Orthonormalization Process | Download |
| 47 | Orthogonal Projections | Download |
| 48 | Gram-Schmidt Process: Applications | Download |
| 49 | Examples and Applications on QR-decomposition | Download |
| 50 | Recapitulate ideas on Inner Product Spaces | Download |
| 51 | Motivation on Eigenvalues and Eigenvectors | Download |
| 52 | Examples and Introduction to Eigenvalues and Eigenvectors | Download |
| 53 | Results on Eigenvalues and Eigenvectors | Download |
| 54 | Results on Eigenvalues and Eigenvectors | Download |
| 55 | Results on Eigenvalues and Eigenvectors. | Download |
| 56 | Diagonalizability | Download |
| 57 | Diagonalizability Continued... | Download |
| 58 | Schur's Unitary Triangularization (SUT) | Download |
| 59 | Applications of Schur's Unitary Triangularization | Download |
| 60 | Spectral Theorem for Hermitian Matrices | Download |
| 61 | Cayley Hamilton Theorem | Download |
| 62 | Quadratic Forms | Download |
| 63 | Sylvester's Law of Inertia | Download |
| 64 | Applications of Quadratic Forms to Analytic Geometry | Download |
| 65 | Examples of Conics and Quartics | Download |
| 66 | Singular Value Decomposition (SVD) | Download |
| Sl.No | Chapter Name | English |
|---|---|---|
| 1 | Notations, Motivation and Definition | Download To be verified |
| 2 | Matrix: Examples, Transpose and Addition | Download To be verified |
| 3 | Matrix Multiplication | Download To be verified |
| 4 | Matrix Product Recalled | Download To be verified |
| 5 | Matrix Product Continued | Download To be verified |
| 6 | Inverse of a Matrix | Download To be verified |
| 7 | Introduction to System of Linear Equations | Download To be verified |
| 8 | Some Initial Results on Linear Systems | Download To be verified |
| 9 | Row Echelon Form (REF) | Download To be verified |
| 10 | LU Decomposition - Simplest Form | Download To be verified |
| 11 | Elementary Matrices | Download To be verified |
| 12 | Row Reduced Echelon Form (RREF) | Download To be verified |
| 13 | Row Reduced Echelon Form (RREF) Continued | Download To be verified |
| 14 | RREF and Inverse | Download To be verified |
| 15 | Rank of a matrix | Download To be verified |
| 16 | Solution Set of a System of Linear Equations | Download To be verified |
| 17 | System of n Linear Equations in n Unknowns | Download To be verified |
| 18 | Determinant | Download To be verified |
| 19 | Permutations and the Inverse of a Matrix | Download To be verified |
| 20 | Inverse and the Cramer's Rule | Download To be verified |
| 21 | Vector Spaces | Download To be verified |
| 22 | Vector Subspaces and Linear Span | Download To be verified |
| 23 | Linear Combination, Linear Independence and Dependence | Download To be verified |
| 24 | Basic Results on Linear Independence | Download To be verified |
| 25 | Results on Linear Independence Continued... | Download To be verified |
| 26 | Basis of a Finite Dimensional Vector Space | Download To be verified |
| 27 | Fundamental Spaces associated with a Matrix | Download To be verified |
| 28 | Rank - Nullity Theorem | Download To be verified |
| 29 | Fundamental Theorem of Linear Algebra | Download To be verified |
| 30 | Definition and Examples of Linear Transformations | Download To be verified |
| 31 | Results on Linear Transformations | Download To be verified |
| 32 | Rank-Nullity Theorem and Applications | Download To be verified |
| 33 | Isomorphism of Vector Spaces | Download To be verified |
| 34 | Ordered Basis of a Finite Dimensional Vector Space | Download To be verified |
| 35 | Ordered Basis Continued | Download To be verified |
| 36 | Matrix of a Linear transformation | Download To be verified |
| 37 | Matrix of a Linear transformation Continued... | Download To be verified |
| 38 | Matrix of Linear Transformations Continued... | Download To be verified |
| 39 | Similarity of Matrices | Download To be verified |
| 40 | Inner Product Space | Download To be verified |
| 41 | Inner Product Continued | Download To be verified |
| 42 | Cauchy Schwartz Inequality | Download To be verified |
| 43 | Projection on a Vector | Download To be verified |
| 44 | Results on Orthogonality | Download To be verified |
| 45 | Results on Orthogonality. | Download To be verified |
| 46 | Gram-Schmidt Orthonormalization Process | Download To be verified |
| 47 | Orthogonal Projections | Download To be verified |
| 48 | Gram-Schmidt Process: Applications | Download To be verified |
| 49 | Examples and Applications on QR-decomposition | Download To be verified |
| 50 | Recapitulate ideas on Inner Product Spaces | Download To be verified |
| 51 | Motivation on Eigenvalues and Eigenvectors | Download To be verified |
| 52 | Examples and Introduction to Eigenvalues and Eigenvectors | Download To be verified |
| 53 | Results on Eigenvalues and Eigenvectors | Download To be verified |
| 54 | Results on Eigenvalues and Eigenvectors | Download To be verified |
| 55 | Results on Eigenvalues and Eigenvectors. | Download To be verified |
| 56 | Diagonalizability | Download To be verified |
| 57 | Diagonalizability Continued... | Download To be verified |
| 58 | Schur's Unitary Triangularization (SUT) | Download To be verified |
| 59 | Applications of Schur's Unitary Triangularization | Download To be verified |
| 60 | Spectral Theorem for Hermitian Matrices | Download To be verified |
| 61 | Cayley Hamilton Theorem | Download To be verified |
| 62 | Quadratic Forms | Download To be verified |
| 63 | Sylvester's Law of Inertia | Download To be verified |
| 64 | Applications of Quadratic Forms to Analytic Geometry | Download To be verified |
| 65 | Examples of Conics and Quartics | Download To be verified |
| 66 | Singular Value Decomposition (SVD) | Download To be verified |
| 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 |