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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
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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
58The determinant of a linear operatorPDF unavailable
59Determinants and VolumesPDF unavailable
60Determinants and Volumes (continued)PDF unavailable