Range of a function

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Related lectures (30)

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Linear Transformations: Matrices and Applications

Explores linear transformations, matrices, injective and surjective functions, and their applications.

Set Theory: Operations and Functions

Covers set theory operations and functions, including injections and surjections.

Linear Algebra: Properties of Injective and Surjective Functions

Covers the properties of injective and surjective functions and the concept of bijections.

Functions: Limits, Continuity, Differentiability

Explores the origin of functions, continuity, differentiability, and the physical representation of chemical bonds.

Functions: Introduction and Terminology

Covers the introduction and terminology of functions, including injections, surjections, and bijections.

Linear Algebra: Surjections and Bijections

Explains surjections and bijections in linear algebra, focusing on function properties and inverse identification.

Introduction to Linear Transformations

Introduces linear transformations, mapping vectors to unique terms and exploring matrix equations.

Linear Applications: Some Basic Concepts

Introduces the basic concepts of linear applications, including injective, surjective, and bijective functions, along with function composition.

Proofs and Sets: Applications

Covers the basics of proofs, defining sets, and applications between sets.

Cartesian Products and Equivalence Relations

Introduces Cartesian products, equivalence relations, and functions, emphasizing the importance of order and discussing injective, surjective, and bijective functions.