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$Old$ November 22nd, 2008, 08:30 PM

mivanova $mivanova is offline$

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Hi,

Thank you for your help before. I have a new problem that I am straggling with. Would you help me

Suppose that A is an nXn complex matrix that every vector in Cn is a generalized eigen vector of A.
Show that A has only one eigenvalue.

Show that there is no proper subspace of Cn that is invariant under A, or give a counterexample.

Thank you!

Last edited by CaptainBlack; November 22nd, 2008 at 10:59 PM.

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