Vector Space Advanced

Vector Space

Advanced

Set of vectors closed under addition and scalar multiplication.

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Definition

Full Definition

Set of vectors closed under addition and scalar multiplication.

Keywords

span basis

Domains

Mathematics

Related Terms

Eigenvector related to

Vector whose direction remains unchanged under linear transformation.

 Singular Value Decomposition related to

Decomposes a matrix into orthogonal components; used in embeddings and compression.

 Norm related to

Measure of vector magnitude; used in regularization and optimization.

 Inner Product related to

Measures similarity and projection between vectors.

 Linear Algebra related to

Mathematical foundation for ML involving vector spaces, matrices, and linear transformations.

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