g" width="294" height="142" alt="Multiplying points&#xD;&#xA;by a matrix" /><p><small><strong>Multiplying a point by a matrix</strong></small></p><p>
In this
case we're considering 2D space so a point is represented by
its x and y dimension.  It can be demonstrated that all rotation, translation,
scaling and shearing can be accomplished by adding an extra dimension to the
point and multiplying it by a matrix as follows:
</p><img src="rotateScaleTransform.png" width="374" height="273" alt="Rotate,&#xD;&#xA;S