Eigenvalue

usgb/ˈaɪɡənˌvælju/
noun

A scalar in linear algebra that indicates how much a transformation affects an eigenvector.

In the context of a square matrix, the eigenvalue determines the factor by which the eigenvector is scaled.
Visual representation of "eigenvalue" - A scalar in linear algebra that indicates how much a transformation affects an eigenvector.

Often appears as...

  • calculate eigenvalues
  • find the eigenvalue

Usage tips

Neutral

Matrix operation, linear transformation, scalar value

Definition 1 of 1
Visual representation of "eigenvalue"
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Contextual Usage

The term is mainly used in mathematical and scientific discussions.

Illustration for Contextual Usage
Eigenvalues are considered when analyzing systems in physics and engineering.
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Formal vs. Informal

Use in formal contexts like academic papers, but can be too technical for casual conversation.

Illustration for Formal vs. Informal
When explaining concepts to laypeople, it may be helpful to simplify or explain further.
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Understanding Relationships

Eigenvalues relate closely to eigenvectors.

Illustration for Understanding Relationships
To understand eigenvalues, you may need to grasp the concept of eigenvectors first.
Visual representation of the word "Eigenvalue"

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