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Local Inversion TheoremExplores the Local Inversion Theorem, highlighting conditions for local diffeomorphism and unique solutions in differentiable functions.
Linear Algebra: Basic ConceptsCovers basic concepts in linear algebra, such as matrices and systems of linear equations, emphasizing the importance of full-rank matrices.
Linear Regression BasicsIntroduces the basics of linear regression, covering OLS approach, residuals, hat matrix, and Gauss-Markov assumptions.
Linear Algebra: Matrix OperationsExplores the equivalence between different properties of linear transformations represented by matrices and various matrix operations.