Wikipedia 10K Redux by Reagle from Starling archive. Bugs abound!!!

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If A is a nxn matrix, v a vector and c a scalar, and the following holds for some c and some v: Av = cv Then we say that v is an EigenVector of the matrix A, and its associated EigenValue is c. Interesting properties of EigenVectors: # If A is symmetric, then all its Eigenvalues are real (as opposed to complex). # If all values of A are non-negative, then there exist n linearly independent eigenvectors for A such that they all have norm 1 and are mutually orthogonal. (there are more, cannot remember off the top of my head)