Let $T$ be a linear transformation from ${\mathbb R}^3$ to ${\mathbb R}^3$ .

Determine whether or not $T$ is one-to-one in each of the following situations:

 1. Suppose $T(-3, 1, -3)=u$, $T(3, 4, 0)=v$, $T(0, 6, -3)=u+v$.
 2. Suppose $T(a) = u$, $T(b) = v$, $T(c)=u+v$, where $a, b, c, u,v$ are vectors in ${\mathbb R}^3$.
 3. Suppose $T$ is an onto function

A. T is a one-to-one function
B. T is not a one-to-one function
C. There is not enough information to tell