### 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.