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Lecture
Linear Applications and Matrix Derivatives
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Related lectures (25)
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Linear Algebra: Matrices Properties
Explores properties of 3x3 matrices with real coefficients and determinant calculation methods.
Differentiation and Coordinate Changes in Multivariable Functions
Discusses differentiation of multivariable functions and coordinate transformations, including polar and cylindrical coordinates, along with the Laplacian operator and its applications.
Differentiability in Analysis
Explores differentiability in analysis, discussing conditions for functions to be differentiable and continuous.
Linear Algebra: Matrix Operations
Explores the equivalence between different properties of linear transformations represented by matrices and various matrix operations.
Linear Algebra: Matrices and Linear Applications
Covers matrices, linear applications, vector spaces, and bijective functions.
Differentiable Functions: Definitions and Properties
Covers the definition and properties of differentiable functions, focusing on differentiability, limits, continuity, and partial derivatives.
Linear Equations: Vectors and Matrices
Covers linear equations, vectors, and matrices, exploring their fundamental concepts and applications.
Matrix Operations: Linear Systems and Solutions
Explores matrix operations, linear systems, solutions, and the span of vectors in linear algebra.
Derivatives and Tangent Planes
Covers derivatives, differentiability, and tangent planes for functions of one and two variables.
Derivatives: Definition and Properties
Explores the definition and properties of derivatives, including slopes of tangent lines and differentiability conditions.