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}@@.