QuestionConsider the vector space V={[abab]:a,b∈R}V=\left\{\begin{bmatrix}a&b\\a&b\end{bmatrix}:a,b\in\mathbb{R}\right\} and T:R3→VT:\mathbb{R}^3\to V defined by T(x,y,z)=[x+yx+y+zx+yx+y+z]T(x,y,z)=\begin{bmatrix}x+y&x+y+z\\x+y&x+y+z\end{bmatrix}. Choose the correct option.
