Cayley-Hamilton theorem
Let be a linear operator on a finite-dimensional vector space , and let be the characteristic polynomial of . Then , where is the zero transformation. In other words, satisfies its own characteristic equation.
Title | Cayley-Hamilton theorem |
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Canonical name | CayleyHamiltonTheorem |
Date of creation | 2013-03-22 12:17:43 |
Last modified on | 2013-03-22 12:17:43 |
Owner | akrowne (2) |
Last modified by | akrowne (2) |
Numerical id | 4 |
Author | akrowne (2) |
Entry type | Theorem |
Classification | msc 15A15 |
Classification | msc 15A18 |