Linear Algebra: Bijections and Cardinality

Related lectures (26)

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Explores mapping functions, surjections, injective and surjective functions, and bijective functions.

Covers the generalities of functions, including the definition of an application between sets and the uniqueness of elements in the image set.

Covers the basics of sets and operations in mathematics, from set properties to advanced operations.

Introduces cardinality and mapping in linear algebra, illustrating concepts with examples and visual aids.

Introduces Cartesian product and induction for proofs using integers and sets.

Introduces fundamental concepts of linear algebra, focusing on sets and operations.

Introduces sets, functions, and their properties, including injective and surjective functions, composition, and inverse functions.

Covers the basics of group theory, including sets, applications, and examples like permutations and rotations.

Explores operations on sets, Cartesian products, and functions' properties.

Introduces sets and functions, covering union, intersection, complement, functions terminology, and set operations analogies.