# Homework Help: T-Cyclic Subspaces

1. Jun 4, 2010

### hitmeoff

1. The problem statement, all variables and given/known data
Find the T-Cyclic subspace generated by Z. V = P1($$\Re$$) T(f) = f' +2f and Z = 2x

2. Relevant equations

3. The attempt at a solution
so T(1,0) = 2
and T(0,1) = 1 + 2x

so [T]$$_{}\beta$$ =
( 2 1
0 2 )

So T-cyclic subspace generated by 2x = { 2x, 2 + 4x } ?

2. Jun 5, 2010

anyone?

3. Jun 5, 2010

helloooo?