MAE200A – Fall 2012 Notes on Generalized Eigen-vectors

نویسنده

  • Benjamin F. Villac
چکیده

The goal of these notes is to further clarify the notion of generalized eigenvector, showing they “naturally” arise from a discrepency between the geometric and algebraic multiplicities of an eigen-value and form a “chain” of vectors that results in the structure of a Jordan block. This also leads us to a useful characterization of these vectors in terms of null spaces, and hopefully, clarify the underlying genometry of these spaces.

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تاریخ انتشار 2012