Eigen values and eigenvectors

From Colettapedia
Jump to navigation Jump to search

General

  • Eigen vector = characteristic vector of square matrix
  • A vector that does not change its direction in a linear transformation.
  • shear mapping - vector that doesn't change when matrix is squished (sheared)
  • Relationship:
    • Eigenvector is the direction stretched by the transformation
    • Eigenvalue the factor by which it is stretched.