Lecture

Linear Algebra: Applications and Definitions

Related lectures (28)

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

Covers the fundamental concepts of sets and subsets in linear algebra, including operations and properties.

Explores the Cartesian product of sets, subsets, and recurrence in mathematics with examples and exercises.

Introduces sets, functions, Cartesian products, and compositions, discussing images, preimages, and function properties.

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

Explores subset properties, contraposition, and equivalence in linear algebra.

Explores the properties of relations in computer science, including equivalence relations and the partition of a set.

Covers linear algebra concepts with a focus on functions and their properties.

Introduces sets, functions, and proofs in mathematics, covering set equality, subsets, Cartesian products, and truth sets of predicates.

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

Introduces sets in discrete mathematics and explores proof techniques like direct and indirect proofs.

Covers applications between sets, functions, and graphs, exploring injectivity, surjectivity, and bijectivity.

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

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

Covers the graphical definition of functions, focusing on level sets and domains.

Introduces logic, proofs, sets, functions, and algorithms in mathematics and computer science.

Covers the basic concepts of sets, functions, and number systems.

Explores recursively defined sets, natural numbers, strings, functions, string concatenation, and well-formed formulae.

Covers the analysis of functions, composition, and mathematical induction.

Covers organizational aspects, introduces Kahut for quizzes, presents complex examples, and summarizes the main topics.