Editing Transformation matrix (section)

===Shearing===

For [[shear mapping]] (visually similar to slanting), there are two possibilities.

A shear parallel to the ''x'' axis has <math>x' = x + ky</math> and <math>y' = y</math>. Written in matrix form, this becomes:
<math display="block">\begin{bmatrix} x' \\ y' \end{bmatrix} = \begin{bmatrix} 1 & k \\ 0 & 1 \end{bmatrix} \begin{bmatrix} x \\ y \end{bmatrix}</math>

A shear parallel to the ''y'' axis has <math>x' = x</math> and <math>y' = y + kx</math>, which has matrix form:
<math display="block">
\begin{bmatrix} x' \\ y' \end{bmatrix} = \begin{bmatrix} 1 & 0 \\ k & 1 \end{bmatrix} \begin{bmatrix} x \\ y \end{bmatrix}
</math>