Eigenvalues and eigenvectors

Eigenvalues and eigenvectors: Scalars and directions for which a linear transformation changes only vector scale without altering direction. They are central to decompositions, dynamics and PCA. Non-diagonalisable or complex matrices require extensions beyond elementary geometric intuition. This perspective connects the definition with practical behaviour in artificial intelligence systems.

In italiano: Autovalori e AutovettoriLegge I · Embedding, feature e spazi vettoriali

They are central to decompositions, dynamics and PCA. Non-diagonalisable or complex matrices require extensions beyond elementary geometric intuition.