Modules / Lectures


Sl.No Chapter Name MP4 Download
1Introduction to Algebraic Structures - Rings and FieldsDownload
2Definition of Vector SpacesDownload
3Examples of Vector SpacesDownload
4Definition of subspacesDownload
5Examples of subspacesDownload
6Examples of subspaces (continued)Download
7Sum of subspacesDownload
8System of linear equationsDownload
9Gauss eliminationDownload
10Generating system , linear independence and basesDownload
11Examples of a basis of a vector spaceDownload
12Review of univariate polynomialsDownload
13Examples of univariate polynomials and rational functionsDownload
14More examples of a basis of vector spacesDownload
15Vector spaces with finite generating systemDownload
16Steinitzs exchange theorem and examplesDownload
17Examples of finite dimensional vector spacesDownload
18Dimension formula and its examplesDownload
19Existence of a basisDownload
20Existence of a basis (continued)Download
21Existence of a basis [continued]Download
22Introduction to Linear MapsDownload
23Examples of Linear MapsDownload
24Linear Maps and BasesDownload
25Pigeonhole principle in Linear AlgebraDownload
26Interpolation and the rank theoremDownload
27ExamplesDownload
28Direct sums of vector spacesDownload
29ProjectionsDownload
30Direct sum decomposition of a vector spaceDownload
31Dimension equality and examplesDownload
32Dual spacesDownload
33Dual spaces (continued)Download
34Quotient spacesDownload
35Homomorphism theorem of vector spacesDownload
36Isomorphism theorem of vector spacesDownload
37Matrix of a linear mapDownload
38Matrix of a linear map (continued)Download
39Matrix of a linear map [continued]Download
40Change of basesDownload
41Computational rules for matricesDownload
42Rank of a matrixDownload
43Computation of the rank of a matrixDownload
44Elementary matricesDownload
45Elementary operations on matricesDownload
46LR decompositionDownload
47Elementary Divisor TheoremDownload
48Permutation groupsDownload
49Canonical cycle decomposition of permutationsDownload
50Signature of a permutationDownload
51Introduction to multilinear mapsDownload
52Multilinear maps (continued)Download
53Introduction to determinantsDownload
54Determinants (continued)Download
55Computational rules for determinantsDownload
56Properties of determinants and adjoint of a matrixDownload
57Adjoint-determinant theoremDownload
58The determinant of a linear operatorDownload
59Determinants and VolumesDownload
60Determinants and Volumes (continued)Download

Sl.No Chapter Name English
1Introduction to Algebraic Structures - Rings and FieldsPDF unavailable
2Definition of Vector SpacesPDF unavailable
3Examples of Vector SpacesPDF unavailable
4Definition of subspacesPDF unavailable
5Examples of subspacesPDF unavailable
6Examples of subspaces (continued)PDF unavailable
7Sum of subspacesPDF unavailable
8System of linear equationsPDF unavailable
9Gauss eliminationPDF unavailable
10Generating system , linear independence and basesPDF unavailable
11Examples of a basis of a vector spacePDF unavailable
12Review of univariate polynomialsPDF unavailable
13Examples of univariate polynomials and rational functionsPDF unavailable
14More examples of a basis of vector spacesPDF unavailable
15Vector spaces with finite generating systemPDF unavailable
16Steinitzs exchange theorem and examplesDownload
Verified
17Examples of finite dimensional vector spacesDownload
Verified
18Dimension formula and its examplesDownload
Verified
19Existence of a basisDownload
Verified
20Existence of a basis (continued)Download
Verified
21Existence of a basis [continued]Download
Verified
22Introduction to Linear MapsDownload
Verified
23Examples of Linear MapsDownload
Verified
24Linear Maps and BasesDownload
Verified
25Pigeonhole principle in Linear AlgebraDownload
Verified
26Interpolation and the rank theoremDownload
Verified
27ExamplesDownload
Verified
28Direct sums of vector spacesDownload
Verified
29ProjectionsDownload
Verified
30Direct sum decomposition of a vector spaceDownload
Verified
31Dimension equality and examplesPDF unavailable
32Dual spacesPDF unavailable
33Dual spaces (continued)PDF unavailable
34Quotient spacesPDF unavailable
35Homomorphism theorem of vector spacesPDF unavailable
36Isomorphism theorem of vector spacesPDF unavailable
37Matrix of a linear mapPDF unavailable
38Matrix of a linear map (continued)PDF unavailable
39Matrix of a linear map [continued]PDF unavailable
40Change of basesPDF unavailable
41Computational rules for matricesPDF unavailable
42Rank of a matrixPDF unavailable
43Computation of the rank of a matrixPDF unavailable
44Elementary matricesPDF unavailable
45Elementary operations on matricesPDF unavailable
46LR decompositionPDF unavailable
47Elementary Divisor TheoremPDF unavailable
48Permutation groupsPDF unavailable
49Canonical cycle decomposition of permutationsPDF unavailable
50Signature of a permutationPDF unavailable
51Introduction to multilinear mapsPDF unavailable
52Multilinear maps (continued)PDF unavailable
53Introduction to determinantsPDF unavailable
54Determinants (continued)PDF unavailable
55Computational rules for determinantsPDF unavailable
56Properties of determinants and adjoint of a matrixPDF unavailable
57Adjoint-determinant theoremPDF unavailable
58The determinant of a linear operatorPDF unavailable
59Determinants and VolumesPDF unavailable
60Determinants and Volumes (continued)PDF unavailable


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