Could you by any chance show this further by using the two rules of linear transformations, which are:
1. T(u + v) = T(u) + T(v)
2. T(cu) = cT(u)
I appreciate what you gave me so far though.
Larson
By rule #2 if you let c=0 then you get $\displaystyle T(\bold{0}) = \bold{0}$.
Thus, every linear transformation must satisfy this property.
But it does not.