
T invariant subspace
IF i have a Tinvariant subspace U with dim $\displaystyle \geq 3$ containing the vector
v=
 2 4 
 4 2 
with basis B=
 1 0 ,  1 1 ,  1 1 ,  1 1 
 0 0   0 0   0 1   1 1 
And $\displaystyle M_B(T)$ =
 7 8 2 8 
3 4 2 8 
3 6 5 5 
 1 1 5 12 
And i need to find a basis for the Tinvariant subspace, how do i approach this..
Ive been trying to find T(u)..
but i dont know where im screwing up.. ive been using this.. $\displaystyle C_B(T(u))=M_B(T)C_B(u)$ to get to T(u)
witt $\displaystyle C_b(u)=$
 a+ b +c +d
 b+c+d 
 d 
 c+ d 