(Solved): Question 3: let \( \mathrm{V} \) be any vector in \( \mathrm{R} 2 \). Let \( \mathrm{T} \) be defin ...

Question 3: let \( \mathrm{V} \) be any vector in \( \mathrm{R} 2 \). Let \( \mathrm{T} \) be defined as the linear transformation such that \( T\left(v_{1}, v_{2}\right)=\left(2 v_{1}-v_{2}, v_{1}+3 v_{2}\right) \) a) Find the image of \( (1,2) \) b) Find the pre image of \( (1,2) \)