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If a matrix has http://freeopentube.co...ial-2012-jogging-sneakers a complete set of distinct eigenvectors, the transition matrix T can be defined as the matrix http://www.path2prospe...e&blogentry_id=102594 of those eigenvectors, http://xuziapple.tumbl...o-surf-all-over-september and the resultant transformed matrix will be a diagonal matrix. However, if the eigenvectors are not unique, and there are a number of generalized eigenvectors associated with the matrix, the transition matrix T will consist of the ordered set of the regular eigenvectors and generalized eigenvectors. The regular eigenvectors that did not produce any generalized eigenvectors (if any) should be first in the order, followed by the eigenvectors that did produce generalized eigenvectors, and the generalized eigenvectors that they produced (in appropriate sequence)