Matrix Elements

A linear matrix is defined by the coefficients in a set of linear equations. For the two-dimensional case the matrix looks like this:

           | scaleX     shearY     perspectiveX |
(x,y,w) *  | shearX     scaleY     perspectiveY |  = (x',y',w')
           | translateX translateY homogeneous  |
Where:
 x' = x*scaleX + y*shearX + w*translateX 
 y' = x*shearY + y*scaleY + w*translateY 
 w' = x*perspectiveX + y*perspectiveY + w*homogeneous 

Note: Matrix Elements are intended for advanced users only.