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Determinants and Volumes (Continued), by Dilip P. Patil

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Lecture 29 : Digression on Linear Algebra, by Dilip P. Patil

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Lecture 12 : Kernel of Homomorphisms and Ideals in K[X],Z, by Dilip P. Patil

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Lecture 8 : Polynomial Functions, by Dilip P. Patil

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Lecture 33 : Second Proof of Krull’s Principal Ideal Theorem, by Dilip P. Patil

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Lecture 30 : Minimal and Characteristic Polynomials, Norms, Trace of Elements, by Dilip P. Patil

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Projections, by Dilip P. Patil

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Lecture 31 : Primitive Element Theorem for Galois Extension, by Dilip P. Patil

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Matrix of a Linear Map, by Dilip P. Patil

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Interpolation and the Rank Theorem, by Dilip P. Patil

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The Determinant of a Linear Operator, by Dilip P. Patil

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Lecture 44 : Proof of Jacobian Critrerion (Contd), by Dilip P. Patil

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Lecture 32 : Fundamental Theorem of Galois Theory, by Dilip P. Patil

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Direct Sum Decomposition of a Vector Space, by Dilip P. Patil

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Matrix of a Linear Map (Continued), by Dilip P. Patil

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Sum of Subspaces, by Dilip P. Patil

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Lecture 50 : Normal Extensions, by Dilip P. Patil

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Lecture 9 : Uniqueness of Primary Decomposition, by Dilip P. Patil

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Lecture 13 : Noether Normalization Lemma (Classical Version), by Dilip P. Patil

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Matrix of a Linear Map [Continued], by Dilip P. Patil

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Lecture 6 : Support of a Module, by Dilip P. Patil

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Vector Spaces with Finite Generating System, by Dilip P. Patil

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Isomorphism Theorem of Vector Spaces, by Dilip P. Patil

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Lecture 24 : Automorphism Groups of a Field Extension, by Dilip P. Patil

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Lecture 15 : Minimal Polynomials, by Dilip P. Patil

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Lecture 38 : Galois Group of Cyclotomic Polynomials, by Dilip P. Patil

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Lecture 17 : Dimensions of Polynomial Ring over Noetherian Rings, by Dilip P. Patil

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Dual Spaces, by Dilip P. Patil

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Canonical Cycle Decomposition of Permutations, by Dilip P. Patil

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Lecture 47 : Projective Modules, by Dilip P. Patil

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