Eigenvalue
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.
Often appears as...
- calculate eigenvalues
- find the eigenvalue
Usage tips
Neutral
Matrix operation, linear transformation, scalar value
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.
Often appears as...
- calculate eigenvalues
- find the eigenvalue
Usage tips
Neutral
Matrix operation, linear transformation, scalar value
Definition 1 of 1
Pro Tip 1/3Contextual Usage
The term is mainly used in mathematical and scientific discussions.
Eigenvalues are considered when analyzing systems in physics and engineering.
Pro Tip 2/3Formal vs. Informal
Use in formal contexts like academic papers, but can be too technical for casual conversation.
When explaining concepts to laypeople, it may be helpful to simplify or explain further.
Pro Tip 3/3Understanding Relationships
Eigenvalues relate closely to eigenvectors.
To understand eigenvalues, you may need to grasp the concept of eigenvectors first.
Pro Tip 1/3Contextual Usage
The term is mainly used in mathematical and scientific discussions.
Eigenvalues are considered when analyzing systems in physics and engineering.
Pro Tip 2/3Formal vs. Informal
Use in formal contexts like academic papers, but can be too technical for casual conversation.
When explaining concepts to laypeople, it may be helpful to simplify or explain further.
Pro Tip 3/3Understanding Relationships
Eigenvalues relate closely to eigenvectors.
To understand eigenvalues, you may need to grasp the concept of eigenvectors first.
Pro Tip 1/3Contextual Usage
The term is mainly used in mathematical and scientific discussions.
Eigenvalues are considered when analyzing systems in physics and engineering.
Pro Tip 2/3Formal vs. Informal
Use in formal contexts like academic papers, but can be too technical for casual conversation.
When explaining concepts to laypeople, it may be helpful to simplify or explain further.
Pro Tip 3/3Understanding Relationships
Eigenvalues relate closely to eigenvectors.
To understand eigenvalues, you may need to grasp the concept of eigenvectors first.
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