Eigenvector

Creator
Creator
Seonglae Cho
Created
Created
2021 Aug 31 7:31
Editor
Edited
Edited
2025 May 20 17:57
Refs

고유벡터

The principal axis on which a matrix (linear transformation) acts on an eigenvector
Me=λeMe = \lambda e
  1. Compute the determinant of MλIM - \lambda I which returns a polynomial
  1. Find the roots of polynomial det(MλI)=0det(M - \lambda I) = 0 which returns eigenvalues
  1. For each eigenvalue, solve (MλI)e=0(M - \lambda I)e = 0 which returns eigenvectors
After finding eigenvectors for the points in the box, we assume that the two vectors with smaller eigenvalues are parallel to the plane.
The variance of the data projected onto the
Eigenvector
becomes maximized.
Eigenvalue Notion
 
 
 
 
 
 
 

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