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show all invariant subspaces are of the form

chickenwin

New member
Feb 13, 2014
12
[solved] show all invariant subspaces are of the form

2.7.7.jpg

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
 
Last edited:

Deveno

Well-known member
MHB Math Scholar
Feb 15, 2012
1,967
The hint refers to a question you asked in another thread. Do you remember it?
 

chickenwin

New member
Feb 13, 2014
12
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.