What are Eigenvalues and Eigenvectors?

Introduction to Quantum Computing

Eigenvalues and Eigenvectors

Eigenvalues / Eigenvectors

  • eigenvalue is the factor that the "span" is stretched along the eigenvector
  • the axis of rotation in 3D space
    • the eigenvector that stays on its "span"
    • think about the angle of rotation
  • is easier to think of than staying with the coordinate system
    • A is the transformation matrix
    • λ (lambda) is a scaler
    • Eigenbasis