Question 40520
The set {v1, v2, v3} is linearly dependent so we could write 

*[tex v_3=\alpha v_1+\beta v_2]

Now, because T is a linear transformation

*[tex T(v_3)=T(\alpha v_1+\beta v_2)=T(\alpha v_1)+T(\beta v_2)=\alpha T(v_1)+\beta T(v_2)]

So the set {T(v1), T(v2), T(v3)} is linearly dependent.