$\displaystyle T:R^{3}->R^{3} $

$\displaystyle A=\left(\begin{array}{ccc}2 & 1 & 0\\0 & 2 & 0\\0 & 0 & 3\end{array}\right)$

A represents T in starndart basis

find 4 subspaces which are “T saved” (dont knpw the proper term

T saved means if v inside W subspace then Tv in W too

i have found two eigenvectors one for eigen value 2

and another eigen vector for eigen value 3.

span of each one of those eigen vectors makes Tsaved subspace.

also this A is not diagoisable.

so how do i find the other two T saved subspaces?