Module Name | Download |
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Sl.No | Chapter Name | MP4 Download |
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1 | Introduction to the Course | Download |
2 | Vector Spaces: Introduction | Download |
3 | Linear Combinations and Span | Download |
4 | Subspaces, Linear Dependence and Independence | Download |
5 | Basis and Dimension | Download |
6 | Sums, Direct Sums and Gaussian Elimination | Download |
7 | Linear Maps and Matrices | Download |
8 | Null space, Range, Fundamental theorem of linear maps | Download |
9 | Column space, null space and rank of a matrix | Download |
10 | Algebraic operations on linear maps | Download |
11 | Invertible maps, Isomorphism, Operators | Download |
12 | Solving Linear Equations | Download |
13 | Elementary Row Operations | Download |
14 | Translates of a subspace, Quotient Spaces | Download |
15 | Row space and rank of a matrix | Download |
16 | Determinants | Download |
17 | Coordinates and linear maps under a change of basis | Download |
18 | Simplifying matrices of linear maps by choice of basis | Download |
19 | Polynomials and Roots | Download |
20 | Invariant subspaces, Eigenvalues, Eigenvectors | Download |
21 | More on Eigenvalues, Eigenvectors, Diagonalization | Download |
22 | Eigenvalues, Eigenvectors and Upper Triangularization | Download |
23 | Properties of Eigenvalues | Download |
24 | Linear state space equations and system stability | Download |
25 | Discrete-time Linear Systems and Discrete Fourier Transforms | Download |
26 | Sequences and counting paths in graphs | Download |
27 | PageRank Algorithm | Download |
28 | Dot product and length in Cn, Inner product and norm in V over F | Download |
29 | Orthonormal basis and Gram-Schmidt orthogonalisation | Download |
30 | Linear Functionals, Orthogonal Complements | Download |
31 | Orthogonal Projection | Download |
32 | Projection and distance from a subspace | Download |
33 | Linear equations, Least squares solutions and Linear regression | Download |
34 | Minimum Mean Squared Error Estimation | Download |
35 | Adjoint of a linear map | Download |
36 | Properties of Adjoint of a Linear Map | Download |
37 | Adjoint of an Operator and Operator-Adjoint Product | Download |
38 | Self-adjoint Operator | Download |
39 | Normal Operators | Download |
40 | Complex Spectral Theorem | Download |
41 | Real Spectral Theorem | Download |
42 | Positive Operators | Download |
43 | Quadratic Forms, Matrix Norms and Optimization | Download |
44 | Isometries | Download |
45 | Classification of Operators | Download |
46 | Singular Values and Vectors of a Linear Map | Download |
47 | Singular Value Decomposition | Download |
48 | Polar decomposition and some applications of SVD | Download |
Sl.No | Chapter Name | English |
---|---|---|
1 | Introduction to the Course | PDF unavailable |
2 | Vector Spaces: Introduction | PDF unavailable |
3 | Linear Combinations and Span | PDF unavailable |
4 | Subspaces, Linear Dependence and Independence | PDF unavailable |
5 | Basis and Dimension | PDF unavailable |
6 | Sums, Direct Sums and Gaussian Elimination | PDF unavailable |
7 | Linear Maps and Matrices | PDF unavailable |
8 | Null space, Range, Fundamental theorem of linear maps | PDF unavailable |
9 | Column space, null space and rank of a matrix | PDF unavailable |
10 | Algebraic operations on linear maps | PDF unavailable |
11 | Invertible maps, Isomorphism, Operators | PDF unavailable |
12 | Solving Linear Equations | PDF unavailable |
13 | Elementary Row Operations | PDF unavailable |
14 | Translates of a subspace, Quotient Spaces | PDF unavailable |
15 | Row space and rank of a matrix | PDF unavailable |
16 | Determinants | PDF unavailable |
17 | Coordinates and linear maps under a change of basis | PDF unavailable |
18 | Simplifying matrices of linear maps by choice of basis | PDF unavailable |
19 | Polynomials and Roots | PDF unavailable |
20 | Invariant subspaces, Eigenvalues, Eigenvectors | PDF unavailable |
21 | More on Eigenvalues, Eigenvectors, Diagonalization | PDF unavailable |
22 | Eigenvalues, Eigenvectors and Upper Triangularization | PDF unavailable |
23 | Properties of Eigenvalues | PDF unavailable |
24 | Linear state space equations and system stability | PDF unavailable |
25 | Discrete-time Linear Systems and Discrete Fourier Transforms | PDF unavailable |
26 | Sequences and counting paths in graphs | PDF unavailable |
27 | PageRank Algorithm | PDF unavailable |
28 | Dot product and length in Cn, Inner product and norm in V over F | PDF unavailable |
29 | Orthonormal basis and Gram-Schmidt orthogonalisation | PDF unavailable |
30 | Linear Functionals, Orthogonal Complements | PDF unavailable |
31 | Orthogonal Projection | PDF unavailable |
32 | Projection and distance from a subspace | PDF unavailable |
33 | Linear equations, Least squares solutions and Linear regression | PDF unavailable |
34 | Minimum Mean Squared Error Estimation | PDF unavailable |
35 | Adjoint of a linear map | PDF unavailable |
36 | Properties of Adjoint of a Linear Map | PDF unavailable |
37 | Adjoint of an Operator and Operator-Adjoint Product | PDF unavailable |
38 | Self-adjoint Operator | PDF unavailable |
39 | Normal Operators | PDF unavailable |
40 | Complex Spectral Theorem | PDF unavailable |
41 | Real Spectral Theorem | PDF unavailable |
42 | Positive Operators | PDF unavailable |
43 | Quadratic Forms, Matrix Norms and Optimization | PDF unavailable |
44 | Isometries | PDF unavailable |
45 | Classification of Operators | PDF unavailable |
46 | Singular Values and Vectors of a Linear Map | PDF unavailable |
47 | Singular Value Decomposition | PDF unavailable |
48 | Polar decomposition and some applications of SVD | 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 |