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Finite Fields and Vector Spaces
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Related lectures (27)
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Vector Spaces: Bases and Dimension
Explains bases and dimension in vector spaces, covering generative and free families, isomorphism, and key theorems.
Vector Spaces: Definitions and Applications
Introduces vector spaces, subspaces, linear maps, and evaluation maps, with examples and exercises for better comprehension.
Vector Spaces: Basics
Covers the basics of vector spaces, including operational definitions, properties, examples in RN, inner products, norms, and distances.
Vector Spaces: Properties and Examples
Explores vector spaces, focusing on properties, examples, and subspaces within a practical exercise on polynomials.
Linear Applications of Vector Spaces
Covers linear applications between vector spaces, exploring their properties and uniqueness based on bases.
Linear Transformations: Isomorphism and Dimension
Covers isomorphism, dimension, bases, and rank in linear transformations between vector spaces.
Vector Spaces: Definitions and Examples
Covers the definition and examples of vector spaces, including subspaces and linear transformations.