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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, and in other physical phenomena. http://en.wiktionary.org/wiki/eigenvalue http://dictionary.obspm.fr/index.php/index.php?showAll=1&formSearchTextfield=eigenvalue |