Linear Transformation

A Linear Transformation is a Transformation for which the following two rules are true:

Let ‘u’ and ‘v’ be mathematical objects of the type upon which transformation T acts:

If the following two rules hold true, then T is a Linear Transformation:

• T(u+v) = T(u) + T(v)
• T(cv) = cT(v)

Appendix A

Any Linear Transformation can be represented by a Matrix.