# Application of Linear Transformation: Pororo (선형변환의 응용: 뽀로로)

Shears on $R^2$
The transformation matrix $S$ for a shear with $x$-axis and ratio $r$ is $\begin{bmatrix} 1 & r \\ 0 & 1 \end{bmatrix}$,
and the transformation matrix $S$ for a shear with $y$-axis and ratio $r$ is $\begin{bmatrix} 1 & 0 \\ r & 1 \end{bmatrix}$.

Rotation
The transformation matrix $T$ for a rotation of a point through an angle $\theta$ about the origin is
$T=\begin{bmatrix} cos \theta & -sin \theta \\ sin \theta & cos \theta \end{bmatrix}$.