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