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Determinants: Special Linear Groups and Matrix Properties
Explores the special linear group, matrix properties, and determinant theorems.
Self-similar Groups: Invariance and Structure
Explores self-similar groups, invariance under section maps, closures, and topological structures in group theory.
Linear Algebra: Elementary Row Operations
Covers elementary row operations, equivalent matrices, invertibility, and bases in linear algebra.
Group Theory: Definitions and Properties
Introduces group theory concepts, properties, and examples, including injective functions and group properties like associativity and inverses.
Möbius Transformations: Properties and Applications
By the instructor Malo Jézéquel explores Möbius transformations and bounded distortion in SL(2, R).