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Lecture
Linear Algebra: Injective Functions
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Related lectures (28)
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Mapping Functions and Surjections
Explores mapping functions, surjections, injective and surjective functions, and bijective functions.
Cartesian Product in Linear Algebra
Explores the Cartesian product in linear algebra and the method of induction for proving propositions.
Linear Algebra: Injective Functions
Explores injective functions in linear algebra, demonstrating how to prove injectivity step by step.
Composition of Applications in Mathematics
Explores the composition of applications in mathematics and the importance of understanding their properties.
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Covers the basics of proofs, defining sets, and applications between sets.
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Explores bijections in linear algebra and the concept of cardinality between sets.
Lebesgue Integration: Cantor Set
Explores the construction of the Lebesgue function on the Cantor set and its unique properties.
Injective Functions: Properties and Examples
Covers the properties of injective functions and demonstrates their proofs through examples and visual aids.
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Covers the study of lifting properties in categories, focusing on the left and right lifting properties.
Algebraic Identities and Trigonometry
Covers algebraic identities, trigonometry, and real functions, including injective, surjective, bijective, and reciprocal functions.