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eigenvectors

 

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Eigenvectors

Description: Eigenvectors are a fundamental concept in linear algebra. In the context of a square matrix, an eigenvector is a non-zero vector whose direction remains unchanged when multiplied by the matrix. The corresponding eigenvalue represents the factor by which the eigenvector is scaled.

Sense 1: Mathematical Definition

Part of Speech: Noun

Synonyms: none

Sample Sentence: In linear algebra, eigenvectors play a key role in understanding the properties of square matrices.

Sense 2: Physics

Part of Speech: Noun

Synonyms: none

Sample Sentence: Eigenvectors are widely used in quantum mechanics to represent the states of physical systems.

Sense 3: Machine Learning

Part of Speech: Noun

Synonyms: none

Sample Sentence: In machine learning, eigenvectors are utilized for dimensionality reduction and feature extraction.

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