A transformation matrix A=(0−110)A = \begin{pmatrix} 0 & -1 \\ 1 & 0 \end{pmatrix}A=(01−10) maps the vector v⃗=(23)\vec{v} = \begin{pmatrix} 2 \\ 3 \end{pmatrix}v=(23) to:
(−32)\begin{pmatrix} -3 \\ 2 \end{pmatrix}(−32)
(3−2)\begin{pmatrix} 3 \\ -2 \end{pmatrix}(3−2)
(−23)\begin{pmatrix} -2 \\ 3 \end{pmatrix}(−23)
(2−3)\begin{pmatrix} 2 \\ -3 \end{pmatrix}(2−3)