Linear Algebra: Surjections

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Related lectures (32)

Injectivity and Surjectivity Log in to Mediaspace to watch this video

Covers injectivity, surjectivity, and bijectivity in mathematical functions, explaining unique mappings and pre-image existence.

Sparsest Cut: ARV Theorem Log in to Mediaspace to watch this video

Covers the proof of the Bourgain's ARV Theorem, focusing on the finite set of points in a semi-metric space and the application of the ARV algorithm to find the sparsest cut in a graph.

Linear Algebra Fundamentals Log in to Mediaspace to watch this video

Explores linear algebra fundamentals, including key definitions, theorems, and practical applications in mathematics and technology.

Application Reciproque and Composition of Applications Log in to Mediaspace to watch this video

Explores the relationships between functions and sets, focusing on composite functions properties.

Advanced Analysis II: Spherical Coordinates Log in to Mediaspace to watch this video

Covers spherical coordinates transformation, bijectivity, and applications in volume calculations.

Cylindrical Coordinates: Continuity and Class C Log in to Mediaspace to watch this video

Explores cylindrical coordinates in R^3, emphasizing continuity and class C properties.

Local Rings and Residues Log in to Mediaspace to watch this video

Covers the proof of theorem 4.2 on multiplicities and the special structure of local rings at a simple point of a plane.

Determinants: Alternate Forms and Symmetrization Log in to Mediaspace to watch this video

Explores alternate forms, symmetric forms, and determinants in linear algebra.

Homotheties and Translations Log in to Mediaspace to watch this video

Covers homotheties, translations, and compositions of functions in geometric transformations.

General Existence Results for PDEs Log in to Mediaspace to watch this video

Covers the general existence result for the Laplace-Dirichlet problem and the properties of the Newtonian potential.

Linear Algebra: Multilinear Forms Log in to Mediaspace to watch this video

Explores multilinear forms in linear algebra, emphasizing their properties and applications.

Analytical Geometry: Cartesian Equations Log in to Mediaspace to watch this video

Explores Cartesian equations for lines in a plane and their parametric descriptions.

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