MHB Show all invariant subspaces are of the form

[catsarebad]

[solved] show all invariant subspaces are of the form

View attachment 1999

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

 

[Deveno]

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

 

[catsarebad]

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.