Astrophysics (index)


(ratio between a vector and a linear transformation of that vector)

An Eigenvector is a non-zero vector which when multiplied by a specific square matrix (which performs a linear transformation on the vector), produces a vector that is the same as that eigenvector multiplied by a constant. That constant is called the matrix's Eigenvalue (λ). Calculation of an eigenvalue and eigenvector for a given matrix (transformation) is called Eigen-Decomposition.

Eigenvalues and eigenvectors have applications in geometric transformations, in quantum mechanics, in other physical phenomena.