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Lecture
Linear Applications and Matrix Derivatives
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Related lectures (25)
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Differentiability and Composition
Covers differentiability, composition of functions, partial derivatives, Jacobian matrix, and polar coordinates.
Differentiability: Partial Derivatives and Hessiennes
Explains partial derivatives, Hessienne matrix, and their properties.
Differential Calculus: Applications and Reminders
Covers differential calculus applications and reminders, emphasizing the importance of differentiability in mathematical analysis.
Functions with Multiple Variables
Covers functions with values in R^m, discussing limits, partial derivatives, and differentiability.
Differentiability and Partial Derivatives
Explores differentiability in two variables and the chain rule for compositions.
Linear Independence: The Wronskian Concept
Explains the Wronskian and its role in determining linear independence of solutions to differential equations.
Differential Calculus: Definition and Derivability
Explores the definition and derivability of functions in differential calculus, emphasizing differentiability at specific points.
Functions of LR: Differentiability
Explains differentiability in LR functions and introduces the Jacobian matrix.
Linear Approximation and Derivative Parametric
Covers linear approximation, parametric derivatives, and differentiability conditions on intervals.
Characteristic Polynomials and Similar Matrices
Explores characteristic polynomials, similarity of matrices, and eigenvalues in linear transformations.