| Sl.No | Chapter Name | MP4 Download |
|---|---|---|
| 1 | mod01lec01 | Download |
| 2 | mod01lec02 | Download |
| 3 | mod01lec03 | Download |
| 4 | mod01lec04 | Download |
| 5 | mod01lec05 | Download |
| 6 | mod01lec06 | Download |
| 7 | Properties of Subspace | Download |
| 8 | Properties of Subspace (contd.) | Download |
| 9 | Linearly independent and dependent vectors | Download |
| 10 | Linearly independent and dependent vectors (contd.) | Download |
| 11 | Properties of linearly independent and dependent vectors | Download |
| 12 | Properties of linearly independent and dependent vectors (contd.) | Download |
| 13 | Basis and Dimension of a Vector Space | Download |
| 14 | Examples of Basis and standard basis of a vector space | Download |
| 15 | Linear Functions | Download |
| 16 | Range space of a matrix and row reduced echelon form | Download |
| 17 | Row equivalent matrices | Download |
| 18 | Row equivalent matrices (contd.) | Download |
| 19 | Null Space of a Matrix | Download |
| 20 | Four subspaces associated with a given matrix | Download |
| 21 | Four subspaces associated with a given matrix (contd.) | Download |
| 22 | Linear Independence of the rows and columns of a matrix | Download |
| 23 | Application of diagonal dominant matrices | Download |
| 24 | Application of Zero Null space: Interpolating polynomial and wronskian matrix | Download |
| 25 | Characterization of basis of a vector space and its subspaces | Download |
| 26 | Coordinate of a vector with respect to ordered basis | Download |
| 27 | Examples of different subspaces of a vector space of polynomials having degree less than or equal 3 | Download |
| 28 | Linear transformation | Download |
| 29 | Properties of linear transformation | Download |
| 30 | Determining linear transformation on a vector space by its value on the basis element | Download |
| 31 | Range space and null space of a linear transformation | Download |
| 32 | Rank and nuility of a linear transformation | Download |
| 33 | Rank-nuility theorem | Download |
| 34 | Application of rank-nuility theorem and inverse of a linear transformation | Download |
| 35 | Matrix associated with linear transformation | Download |
| 36 | Matrix representation of a linear transformation relative to ordered bases | Download |
| 37 | Matrix representation of a linear transformation relative to ordered bases (contd.) | Download |
| 38 | Linear map associated with a matrix | Download |
| 39 | Similar matrices and diagonalisation of matrix | Download |
| 40 | Orthonormal bases of a vector space | Download |
| 41 | Gram-Schmidt orthogonalisation process | Download |
| 42 | QR factorisation | Download |
| 43 | Inner Product Spaces | Download |
| 44 | Inner product on different real vector spaces and basis of complex vector space | Download |
| 45 | Inner product on complex vector spaces and Cauchy-Schwarz inequality | Download |
| 46 | Norm of a vector | Download |
| 47 | Matrix norm | Download |
| 48 | Sensitivity analysis of a system of linear equations | Download |
| 49 | Orthogonality of the four subspaces associated with a Matrix | Download |
| 50 | Best approximation : Least square method | Download |
| 51 | Best approximation : Least square method (contd.) | Download |
| 52 | Jordan-Canonical Form | Download |
| 53 | Some examples on the Jordan form of a given matrix and generalised eigenvectors | Download |
| 54 | Singular value decomposition (SVD) theorem | Download |
| 55 | Matlab / Octave code for solving SVD | Download |
| 56 | Pseudo-inverse/Moore-Penrose inverse | Download |
| 57 | Householder transformation | Download |
| 58 | Matlab/Octave code for Householder transformation | Download |
| Sl.No | Chapter Name | English |
|---|---|---|
| 1 | mod01lec01 | Download Verified |
| 2 | mod01lec02 | Download Verified |
| 3 | mod01lec03 | Download Verified |
| 4 | mod01lec04 | Download Verified |
| 5 | mod01lec05 | Download Verified |
| 6 | mod01lec06 | Download Verified |
| 7 | Properties of Subspace | Download Verified |
| 8 | Properties of Subspace (contd.) | Download Verified |
| 9 | Linearly independent and dependent vectors | Download Verified |
| 10 | Linearly independent and dependent vectors (contd.) | Download Verified |
| 11 | Properties of linearly independent and dependent vectors | Download Verified |
| 12 | Properties of linearly independent and dependent vectors (contd.) | Download Verified |
| 13 | Basis and Dimension of a Vector Space | Download Verified |
| 14 | Examples of Basis and standard basis of a vector space | Download Verified |
| 15 | Linear Functions | Download Verified |
| 16 | Range space of a matrix and row reduced echelon form | Download Verified |
| 17 | Row equivalent matrices | Download Verified |
| 18 | Row equivalent matrices (contd.) | Download Verified |
| 19 | Null Space of a Matrix | Download Verified |
| 20 | Four subspaces associated with a given matrix | Download Verified |
| 21 | Four subspaces associated with a given matrix (contd.) | Download Verified |
| 22 | Linear Independence of the rows and columns of a matrix | Download Verified |
| 23 | Application of diagonal dominant matrices | Download Verified |
| 24 | Application of Zero Null space: Interpolating polynomial and wronskian matrix | Download Verified |
| 25 | Characterization of basis of a vector space and its subspaces | Download Verified |
| 26 | Coordinate of a vector with respect to ordered basis | Download Verified |
| 27 | Examples of different subspaces of a vector space of polynomials having degree less than or equal 3 | Download Verified |
| 28 | Linear transformation | Download Verified |
| 29 | Properties of linear transformation | Download Verified |
| 30 | Determining linear transformation on a vector space by its value on the basis element | Download Verified |
| 31 | Range space and null space of a linear transformation | Download Verified |
| 32 | Rank and nuility of a linear transformation | Download Verified |
| 33 | Rank-nuility theorem | Download Verified |
| 34 | Application of rank-nuility theorem and inverse of a linear transformation | Download Verified |
| 35 | Matrix associated with linear transformation | Download Verified |
| 36 | Matrix representation of a linear transformation relative to ordered bases | Download Verified |
| 37 | Matrix representation of a linear transformation relative to ordered bases (contd.) | Download Verified |
| 38 | Linear map associated with a matrix | Download Verified |
| 39 | Similar matrices and diagonalisation of matrix | Download Verified |
| 40 | Orthonormal bases of a vector space | Download Verified |
| 41 | Gram-Schmidt orthogonalisation process | Download Verified |
| 42 | QR factorisation | Download Verified |
| 43 | Inner Product Spaces | Download Verified |
| 44 | Inner product on different real vector spaces and basis of complex vector space | Download Verified |
| 45 | Inner product on complex vector spaces and Cauchy-Schwarz inequality | Download Verified |
| 46 | Norm of a vector | Download Verified |
| 47 | Matrix norm | Download Verified |
| 48 | Sensitivity analysis of a system of linear equations | Download Verified |
| 49 | Orthogonality of the four subspaces associated with a Matrix | Download Verified |
| 50 | Best approximation : Least square method | Download Verified |
| 51 | Best approximation : Least square method (contd.) | Download Verified |
| 52 | Jordan-Canonical Form | Download Verified |
| 53 | Some examples on the Jordan form of a given matrix and generalised eigenvectors | Download Verified |
| 54 | Singular value decomposition (SVD) theorem | Download Verified |
| 55 | Matlab / Octave code for solving SVD | Download Verified |
| 56 | Pseudo-inverse/Moore-Penrose inverse | Download Verified |
| 57 | Householder transformation | Download Verified |
| 58 | Matlab/Octave code for Householder transformation | Download 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 |