Let
\[M=\begin{bmatrix}1 & 0\\0 & 2\end{bmatrix}\begin{bmatrix}0 & -1\\1 & 0\end{bmatrix}\]
Consider the linear transformation \(T_M:\RR ^2\rightarrow \RR ^2\) induced by \(M\). What is the image of the photograph below under \(T_M\)?

[Picture]

Click on the picture to select the correct image from the four choices below.

[Picture] [Picture] [Picture] [Picture]

Photo Credit

[Davis] Erik Davis, CC-BY 4.0.