sajátértékvei
Sajátértékvei is a Hungarian term that translates to "eigenvectors" in English, a fundamental concept in linear algebra. Eigenvectors are non-zero vectors that, when a linear transformation is applied to them, only change by a scalar factor. This scalar factor is known as the eigenvalue. In simpler terms, when you transform a space using a matrix, eigenvectors are the directions that remain unchanged, only stretching or shrinking.
The relationship between an eigenvector v and its corresponding eigenvalue λ for a given linear transformation represented
These applications include dimensionality reduction techniques like Principal Component Analysis (PCA), where eigenvectors help identify the