An eigenvalue is a scalar λ for which a non-zero vector v satisfies Av=λv.
What Is Eigenvalue?
An eigenvalue is a scalar λ for which a non-zero vector v satisfies Av=λv.
Examples of Eigenvalue
1
If Av=2v, then 2 is an eigenvalue of A.Formula and Key Points
Formula / rule
Av=λv
- Know the definition and standard notation for Eigenvalue.
- Be able to recognise or compute eigenvalue in a small example.
- Connect the concept to nearby topics in the same subject before using it in larger CSE problems.
Why This Matters in Computer Science
Used in computer graphics, machine learning, computer vision, signal processing, robotics and scientific computing. Used in PageRank, stability analysis, PCA and spectral graph methods.
Related Math Terms
Eigenvalue: Frequently Asked Questions
What is Eigenvalue?
An eigenvalue is a scalar λ for which a non-zero vector v satisfies Av=λv.
Why is Eigenvalue useful in computer science?
Used in computer graphics, machine learning, computer vision, signal processing, robotics and scientific computing. Used in PageRank, stability analysis, PCA and spectral graph methods.