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“A Quick Introduction to Group Representations”, by Amit Kulshrestha

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“Basic Properties of Groups and Multiplication Tables”, by Krishna Hanumanthu

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“Definition of a Group and Examples”;, by Krishna Hanumanthu

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“More Examples of Groups”;, by Krishna Hanumanthu

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“Motivational Examples of Groups”;, by Krishna Hanumanthu

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1. Introduction to the Course Contents., by K.C. Sivakumar

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10 Points on an Equilateral Triangle, by Sudarshan Iyengar

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10. Subspaces (Continued) , Spanning Sets, Linear Independence, Dependence, by K.C. Sivakumar

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11. Basis for a Vector Space, by K.C. Sivakumar

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12. Dimension of a Vector Space, by K.C. Sivakumar

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13. Dimensions of Sums of Subspaces, by K.C. Sivakumar

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14. Linear Transformations, by K.C. Sivakumar

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15. the Null Space and the Range Space of a Linear Transformation, by K.C. Sivakumar

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16. the Rank-Nullity-Dimension Theorem. Isomorphisms between Vector Spaces, by K.C. Sivakumar

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17. Isomorphic Vector Spaces, Equality of the Row-Rank and the Column-Rank I, by K.C. Sivakumar

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18. Equality of the Row-Rank and the Column-Rank II, by K.C. Sivakumar

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19. the Matrix of a Linear Transformation, by K.C. Sivakumar

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2 by 2 Systems and Phase Plane Analysis Continued, by Raju K. George

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2 by 2 Systems and Phase Plane Analysis, by Raju K. George

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2-Connected Graphs 1, by Soumen Maity

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2-Connected Graphs, by Soumen Maity

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2. Linear Equations, by K.C. Sivakumar

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20. Matrix for the Composition and the Inverse. Similarity Transformation, by K.C. Sivakumar

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21. Linear Functionals. the Dual Space. Dual Basis I, by K.C. Sivakumar

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22. Dual Basis II. Subspace Annihilators I, by K.C. Sivakumar

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23. Subspace Annihilators II, by K.C. Sivakumar

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24. the Double Dual. the Double Annihilator, by K.C. Sivakumar

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25. the Transpose of a Linear Transformation. Matrices of a Linear Transformation and its Transpose, by K.C. Sivakumar

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26. Eigenvalues and Eigenvectors of Linear Operators, by K.C. Sivakumar

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26.Subshifts of Finite Type (cont.) , Chatoic Dynamical Systems, by Anima Nagar

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