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Polynomials and Endomorphisms
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Related lectures (31)
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Matrix Algebra: Addition, Scalar Multiplication, Transpose
Introduces matrix algebra operations and their properties, including commutativity and distributivity.
Linear Algebra: Matrices and Endomorphisms
Explores properties of matrices, endomorphisms, and linear applications in vector spaces.
Polynomials, Division, and Ideals
Explores polynomials, their operations, and the concept of ideals in polynomial rings.
Boolean Algebra: Properties and Optimization
Covers Boolean algebra properties, optimization techniques, and the importance of valid groups in Karnaugh maps.
Polynomials: Theory and Operations
Covers the theory and operations related to polynomials, including ideals, minimal polynomials, irreducibility, and factorization.
Natural Numbers
Covers the concept of natural numbers, including properties like commutativity and associativity.
Q is a Field
Covers the properties of rational numbers and introduces the concept of an ordered field in Q.
Module Theory: Definitions and Examples
Introduces the definition and examples of A-modules, including sub-modules and ideals.
Polynomials: Definition and Operations
Covers polynomials, their operations, division theorem, and provides illustrative examples.
Reed Solomon Codes: Basics and Applications
Introduces Reed Solomon Codes, their applications, polynomial definitions, interpolation, roots, and the Fundamental Theorem of Algebra.