T-Cyclic Subspace Generated by Z Using T(f) = f' + 2f in P1(\Re)

[hitmeoff]

Homework Statement

Find the T-Cyclic subspace generated by Z. V = P₁($$\Re$$) T(f) = f' +2f and Z = 2x

Homework Equations

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 } ?

 

[hitmeoff]

anyone?

 

[hitmeoff]

helloooo?