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Jacobian matrix and determinant
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Related lectures (30)
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Differentiability and Matrices
Explores differentiability, matrices, Jacobian matrix, and derivatives calculation.
Change of Variables Theorem
Explores the change of variables theorem and examples of polar coordinates.
Differentiability and Composition
Covers differentiability, composition of functions, partial derivatives, Jacobian matrix, and polar coordinates.
Matrix Determinants: Properties and Applications
Explores matrix determinant properties, inverse, transpose, and applications in solving equations.
Solving Equations: Newton's Method
Covers Newton's method conditions and convergence, extension to multiple variables, and linear models.
Linear Algebra: Multilinear Groin and Determinants
Explores multilinear groin and determinants, including the Sarrus rule and proof by induction.
Implicit Differentiation: Solving Equations Locally
Explores implicit differentiation and the Implicit Function Theorem for finding unique functions locally.
Derivatives and Jacobian Matrix
Introduces functions with real values, derivatives, and the Jacobian matrix, along with compound functions and variable change applications.
Matrix Determinants: Properties and Calculation Strategies
Covers the properties of matrix determinants and strategies for their calculation.
Derivability and Composition
Covers derivability, linear applications, composition of functions, and the gradient vector.
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