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yeus

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When there is a difference between algebraic and geometric multiplicity of eigenvalues mainvectors are used to handle that difference. Mainvectors are defined as the solution

(I apologize for not knowing that many mathematical expressions in english. but I hope you guys understand my problem)

**v**of the equation: (**A**-lambda***E**)^k***v**=0 where k is the multiplicity of the eigenvalue lambda. Now my question is: Why are you using the k-th power of the definition of an eigenvector to search for a mainvector? how do you get from the fact that there is a difference between alge./geom. mult. to that equation? thanks for answers(I apologize for not knowing that many mathematical expressions in english. but I hope you guys understand my problem)

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