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Lec 39, by K.K. Pant

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Lec 22, by K.K. Pant

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Lec 29, by K.K. Pant

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Lec 24, by K.K. Pant

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Lec 14, by K.K. Pant

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14. Linear Transformations, by K.C. Sivakumar

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8. Vector Spaces, 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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45. Projection Theorem. Linear Functionals, by K.C. Sivakumar

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38. the Cyclic Decomposition Theorem II. the Rational Form, by K.C. Sivakumar

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

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3a. Equivalent Systems of Linear Equations I: Inverses of Elementary Row-Operations, Row-Equivalent Matrices, by K.C. Sivakumar

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5. Row-Reduced Echelon Matrices and Non-Homogeneous Equations, 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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40. Norms on Vector spaces. the Gram-Schmidt Procedure I, by K.C. Sivakumar

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49. Unitary Operators II. Self-Adjoint Operators I., by K.C. Sivakumar

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33. Direct Sum Decompositions and Projection Operators I, by K.C. Sivakumar

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

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35. the Primary Decomposition Theorem and Jordan Decomposition, by K.C. Sivakumar

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41. the Gram-Schmidt Procedure II. the QR Decomposition., by K.C. Sivakumar

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31. Triangulability, Diagonalization in Terms of the Minimal Polynomial, by K.C. Sivakumar

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51. Normal Operators-Spectral Theorem, by K.C. Sivakumar

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43. best Approximation: Least Squares Solutions, by K.C. Sivakumar

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

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

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3b. Equivalent Systems of Linear Equations II: Homogeneous Equations, Examples, by K.C. Sivakumar

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

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6. Elementary Matrices, Homogeneous Equations and Non-Homogeneous Equations, by K.C. Sivakumar

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44. Orthogonal Complementary Subspaces, Orthogonal Projections, by K.C. Sivakumar

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

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