8. (10pts) Let V and W be finite dimensional vector spaces and let T : V→ W be a linear map. Recall that there exists a unique linear map T^t : W*→ V*, called the transpose of T, where V* and W* are the dual spaces of V and W, respectively.
 Consider V = R² and W = R³. Let T : V → W be the linear map defined by 

T(a,b)=(3a+6,a-26,2a-6)
 Then there exists a unique linear map T^t : W* →V* as above. Define by 

Hint: you need to either explicitly write down T^t(θ)(a,b) for any (a,b), or simply write down a 2 x 1 matris representing T^t(θ).