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Related lectures (32)
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Sets, Functions and Relations: Set Identities
Covers set identities and different approaches to prove them, including set builder notation and membership tables.
Linear Algebra: Matrices and Endomorphisms
Explores properties of matrices, endomorphisms, and linear applications in vector spaces.
Ring Structure: Polynomials and Coefficients
Covers the ring structure, focusing on polynomials and coefficients, including associativity, distributivity, and the product of rings.
Module Theory: Definitions and Examples
Introduces the definition and examples of A-modules, including sub-modules and ideals.
Lie Algebra: Vector Space and Multiplication Law
Covers Lie Algebra, focusing on vector space and multiplication law.
Dedekind Cuts: Rational Numbers
Explores Dedekind cuts in rational numbers, essential for constructing real numbers.
Linear Equations: Matrix Notation & Solutions
Covers matrix notation for linear equations, solutions, and geometric interpretations.
Matrix Operations: Properties and Examples
Covers matrix operation properties and examples, including distributivity, neutrality, and associativity.
Intersection: Sets and Properties
Explores the intersection of sets, defining it and discussing its properties.
Polynomials on a Field: Basics and Operations
Introduces the basics of polynomials on a field, focusing on definitions, operations, and properties.