Question

How to find invariant subspaces under the transformation?
let say the matrix
\[A= \left[\begin{matrix}1&0&1&-1\\2&1&2&1\\0&1&6&1\\3&1&3&4\end{matrix}\right]\]
when M is set of vectors of the form \(0,\alpha,\beta, \beta\)

Answer 1

@KingGeorge

Answer 2

@zzr0ck3r

Answer 3

I know \(A_0~~and~~A_4\) are 2 of them, but not sure how to find \(A_1,~A_2~,~A_3\)

Answer 4

To be totally honest, I'm not really sure on how to find all invariant subspaces. What are \(A_0\) and \(A_4\)?