MHB Show all invariant subspaces are of the form

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[solved] show all invariant subspaces are of the form

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i don't even know how to begin (Angry)

C_x is a subspace spanned by x that belongs to V

C_x = {x, L(x), L^2(x),...}

edit: SOLVED
 

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The hint refers to a question you asked in another thread. Do you remember it?
 
dim of v needs to be equal to degree of minimal poly and hence that would be a contradiction?

i'll see what i can do with that. thanks.
 

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