# show all invariant subspaces are of the form

#### chickenwin

##### New member
[solved] show all invariant subspaces are of the form

i don't even know how to begin

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
The hint refers to a question you asked in another thread. Do you remember it?

#### chickenwin

##### New member
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.