Modules / Lectures
Module NameDownload


Sl.No Chapter Name MP4 Download
1Introduction to the CourseDownload
2Vector Spaces: IntroductionDownload
3Linear Combinations and SpanDownload
4Subspaces, Linear Dependence and IndependenceDownload
5Basis and DimensionDownload
6Sums, Direct Sums and Gaussian EliminationDownload
7Linear Maps and MatricesDownload
8Null space, Range, Fundamental theorem of linear mapsDownload
9Column space, null space and rank of a matrixDownload
10Algebraic operations on linear mapsDownload
11Invertible maps, Isomorphism, OperatorsDownload
12Solving Linear EquationsDownload
13Elementary Row OperationsDownload
14Translates of a subspace, Quotient SpacesDownload
15Row space and rank of a matrixDownload
16DeterminantsDownload
17Coordinates and linear maps under a change of basisDownload
18Simplifying matrices of linear maps by choice of basisDownload
19Polynomials and RootsDownload
20Invariant subspaces, Eigenvalues, EigenvectorsDownload
21More on Eigenvalues, Eigenvectors, DiagonalizationDownload
22Eigenvalues, Eigenvectors and Upper TriangularizationDownload
23Properties of EigenvaluesDownload
24Linear state space equations and system stabilityDownload
25Discrete-time Linear Systems and Discrete Fourier TransformsDownload
26Sequences and counting paths in graphsDownload
27PageRank AlgorithmDownload
28Dot product and length in Cn, Inner product and norm in V over FDownload
29Orthonormal basis and Gram-Schmidt orthogonalisationDownload
30Linear Functionals, Orthogonal ComplementsDownload
31Orthogonal ProjectionDownload
32Projection and distance from a subspaceDownload
33Linear equations, Least squares solutions and Linear regressionDownload
34Minimum Mean Squared Error EstimationDownload
35Adjoint of a linear mapDownload
36Properties of Adjoint of a Linear MapDownload
37Adjoint of an Operator and Operator-Adjoint ProductDownload
38Self-adjoint OperatorDownload
39Normal OperatorsDownload
40Complex Spectral TheoremDownload
41Real Spectral TheoremDownload
42Positive OperatorsDownload
43Quadratic Forms, Matrix Norms and OptimizationDownload
44IsometriesDownload
45Classification of OperatorsDownload
46Singular Values and Vectors of a Linear MapDownload
47Singular Value DecompositionDownload
48Polar decomposition and some applications of SVDDownload

Sl.No Chapter Name English
1Introduction to the CoursePDF unavailable
2Vector Spaces: IntroductionPDF unavailable
3Linear Combinations and SpanPDF unavailable
4Subspaces, Linear Dependence and IndependencePDF unavailable
5Basis and DimensionPDF unavailable
6Sums, Direct Sums and Gaussian EliminationPDF unavailable
7Linear Maps and MatricesPDF unavailable
8Null space, Range, Fundamental theorem of linear mapsPDF unavailable
9Column space, null space and rank of a matrixPDF unavailable
10Algebraic operations on linear mapsPDF unavailable
11Invertible maps, Isomorphism, OperatorsPDF unavailable
12Solving Linear EquationsPDF unavailable
13Elementary Row OperationsPDF unavailable
14Translates of a subspace, Quotient SpacesPDF unavailable
15Row space and rank of a matrixPDF unavailable
16DeterminantsPDF unavailable
17Coordinates and linear maps under a change of basisPDF unavailable
18Simplifying matrices of linear maps by choice of basisPDF unavailable
19Polynomials and RootsPDF unavailable
20Invariant subspaces, Eigenvalues, EigenvectorsPDF unavailable
21More on Eigenvalues, Eigenvectors, DiagonalizationPDF unavailable
22Eigenvalues, Eigenvectors and Upper TriangularizationPDF unavailable
23Properties of EigenvaluesPDF unavailable
24Linear state space equations and system stabilityPDF unavailable
25Discrete-time Linear Systems and Discrete Fourier TransformsPDF unavailable
26Sequences and counting paths in graphsPDF unavailable
27PageRank AlgorithmPDF unavailable
28Dot product and length in Cn, Inner product and norm in V over FPDF unavailable
29Orthonormal basis and Gram-Schmidt orthogonalisationPDF unavailable
30Linear Functionals, Orthogonal ComplementsPDF unavailable
31Orthogonal ProjectionPDF unavailable
32Projection and distance from a subspacePDF unavailable
33Linear equations, Least squares solutions and Linear regressionPDF unavailable
34Minimum Mean Squared Error EstimationPDF unavailable
35Adjoint of a linear mapPDF unavailable
36Properties of Adjoint of a Linear MapPDF unavailable
37Adjoint of an Operator and Operator-Adjoint ProductPDF unavailable
38Self-adjoint OperatorPDF unavailable
39Normal OperatorsPDF unavailable
40Complex Spectral TheoremPDF unavailable
41Real Spectral TheoremPDF unavailable
42Positive OperatorsPDF unavailable
43Quadratic Forms, Matrix Norms and OptimizationPDF unavailable
44IsometriesPDF unavailable
45Classification of OperatorsPDF unavailable
46Singular Values and Vectors of a Linear MapPDF unavailable
47Singular Value DecompositionPDF unavailable
48Polar decomposition and some applications of SVDPDF unavailable


Sl.No Language Book link
1EnglishNot Available
2BengaliNot Available
3GujaratiNot Available
4HindiNot Available
5KannadaNot Available
6MalayalamNot Available
7MarathiNot Available
8TamilNot Available
9TeluguNot Available