#eigenvectors — Public Fediverse posts
Live and recent posts from across the Fediverse tagged #eigenvectors, aggregated by home.social.
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An **Eigenvector** of matrix A is a non-zero vector that only scales (doesn't change direction) when A acts on it (`Av=λv`). **Eigenvalue** (λ) is the scalar. Pro-Tip: Key for stability & system analysis!
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In PCA, eigenvalues represent the variance explained by each principal component, while eigenvectors determine the direction of these components, illustrating how the original variables are weighted.
More info in my online course: https://statisticsglobe.com/online-course-pca-theory-application-r
#DataScience #PCA #Eigenvalues #Eigenvectors #RProgramming #DataAnalysis
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I've learned to calculate #Eigenvalues and #Eigenvectors 25 years ago and got a perfect grade.
However, I never understood, why we were learning this.
https://www.youtube.com/watch?v=PFDu9oVAE-g perfectly explained the basics and the motivation within 17 minutes. 👍
#Mikolasch #TUG #mathematics #math