Let us define a linear transformation T:R² → R² by T(x) = \(\begin{bmatrix}0 & -1\\ 1 & 0\end{bmatrix}\begin{bmatrix}x_1\\ x_2\end{bmatrix}\) = \(\begin{bmatrix}-x_2\\ x_1\end{bmatrix}\). Find the image under T of \(u = \begin{bmatrix}4\\ 1\end{bmatrix}\), \(v = \begin{bmatrix}2\\ 3\end{bmatrix}\) and u + v = \(\begin{bmatrix}6\\ 4\end{bmatrix}\)